5. Решите уравнение: 1.-3d-10-3d-6 2.-1,6-0,3p = 0,9p + 0,2 3.4(2-6)=2-9 4. (8z+3) - (10x + 6) = 9 5.0,3(6 - 3y) = 4,5 - 0,8(y - 9) 6. x+4 / 2 + 3 = 9/2 7. 5x+1 / 2 + 3 = 4 8. x+8 / 5 + 3-2x / 3 = 3

Решение:

1. Уравнение 1:
   \(-3d - 10 = 3d - 6\)
   \(-10 + 6 = 3d + 3d\)
   \(-4 = 6d\)
   \[ d = -\frac{4}{6} = -\frac{2}{3} \]
2. Уравнение 2:
   \(-1,6 - 0,3p = 0,9p + 0,2\)
   \(-1,6 - 0,2 = 0,9p + 0,3p\)
   \(-1,8 = 1,2p\)
   \[ p = -\frac{1,8}{1,2} = -\frac{18}{12} = -\frac{3}{2} = -1,5 \]
3. Уравнение 3:
   \(4(z - 6) = z - 9\)
   \(4z - 24 = z - 9\)
   \(4z - z = 24 - 9\)
   \(3z = 15\)
   \[ z = 5 \]
4. Уравнение 4:
   \((8z + 3) - (10z + 6) = 9\)
   \(8z + 3 - 10z - 6 = 9\)
   \(-2z - 3 = 9\)
   \(-2z = 9 + 3\)
   \(-2z = 12\)
   \[ z = -6 \]
5. Уравнение 5:
   \(0,3(6 - 3y) = 4,5 - 0,8(y - 9)\)
   \(1,8 - 0,9y = 4,5 - 0,8y + 7,2\)
   \(1,8 - 0,9y = 11,7 - 0,8y\)
   \(-0,9y + 0,8y = 11,7 - 1,8\)
   \(-0,1y = 9,9\)
   \[ y = -99 \]
6. Уравнение 6:
   \[ \frac{x + 4}{2} + 3 = \frac{9}{2} \]
   \[ \frac{x + 4}{2} = \frac{9}{2} - 3 \]
   \[ \frac{x + 4}{2} = \frac{9 - 6}{2} \]
   \[ \frac{x + 4}{2} = \frac{3}{2} \]
   \[ x + 4 = 3 \]
   \[ x = 3 - 4 \]
   \[ x = -1 \]
7. Уравнение 7:
   \[ \frac{5x + 1}{2} + 3 = 4 \]
   \[ \frac{5x + 1}{2} = 4 - 3 \]
   \[ \frac{5x + 1}{2} = 1 \]
   \[ 5x + 1 = 2 \]
   \[ 5x = 2 - 1 \]
   \[ 5x = 1 \]
   \[ x = \frac{1}{5} = 0,2 \]
8. Уравнение 8:
   \[ \frac{x + 8}{5} + \frac{3 - 2x}{3} = 3 \]
   Умножим обе части на общий знаменатель 15:
   \[ 15 \cdot \frac{x + 8}{5} + 15 \cdot \frac{3 - 2x}{3} = 15 \cdot 3 \]
   \[ 3(x + 8) + 5(3 - 2x) = 45 \]
   \[ 3x + 24 + 15 - 10x = 45 \]
   \[ -7x + 39 = 45 \]
   \[ -7x = 45 - 39 \]
   \[ -7x = 6 \]
   \[ x = -\frac{6}{7} \]

Ответ: 1)
\( d = -\frac{2}{3} \), 2) \( p = -1,5 \), 3) \( z = 5 \), 4) \( z = -6 \), 5) \( y = -99 \), 6) \( x = -1 \), 7) \( x = 0,2 \), 8) \( x = -\frac{6}{7} \).