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Simplifying (6 + 3h + -2 + -1h) = 5(2 + h) Reorder the terms: (6 + -2 + 3h + -1h) = 5(2 + h) Combine like terms: 6 + -2 = 4 (4 + 3h + -1h) = 5(2 + h) Combine like terms: 3h + -1h = 2h (4 + 2h) = 5(2 + h) Remove parenthesis around (4 + 2h) 4 + 2h = 5(2 + h) 4 + 2h = (2 * 5 + h * 5) 4 + 2h = (10 + 5h) Solving 4 + 2h = 10 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 4 + 2h + -5h = 10 + 5h + -5h Combine like terms: 2h + -5h = -3h 4 + -3h = 10 + 5h + -5h Combine like terms: 5h + -5h = 0 4 + -3h = 10 + 0 4 + -3h = 10 Add '-4' to each side of the equation. 4 + -4 + -3h = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -3h = 10 + -4 -3h = 10 + -4 Combine like terms: 10 + -4 = 6 -3h = 6 Divide each side by '-3'. h = -2 Simplifying h = -2
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