Раскроем скобки и приведем подобные слагаемые:
$$5ts+(g+6s)(2t-3h) - 4th-2(5t - 3s)(2h+3g) =$$
$$=5ts + 2gt - 3gh + 12st - 18sh - 4th - 4(5thg+7.5tg-3sh^2-4.5sg)=$$
$$= 5ts + 2gt - 3gh + 12st - 18sh - 4th - (20th - 30thg + 12sh + 18sg) =$$
$$= 5ts + 2gt - 3gh + 12st - 18sh - 4th - 20th + 30thg - 12sh - 18sg=$$
$$=5ts + 12st + 2gt - 3gh - 30sh - 24th - 18sg + 30gh=$$
$$=17ts + 2gt +27gh - 30sh - 24th - 18sg$$
Ответ: $$17ts + 2gt +27gh - 30sh - 24th - 18sg$$