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Simplifying 5[h + 2] = -3[4 + -1h] Reorder the terms: 5[2 + h] = -3[4 + -1h] [2 * 5 + h * 5] = -3[4 + -1h] [10 + 5h] = -3[4 + -1h] 10 + 5h = [4 * -3 + -1h * -3] 10 + 5h = [-12 + 3h] Solving 10 + 5h = -12 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. 10 + 5h + -3h = -12 + 3h + -3h Combine like terms: 5h + -3h = 2h 10 + 2h = -12 + 3h + -3h Combine like terms: 3h + -3h = 0 10 + 2h = -12 + 0 10 + 2h = -12 Add '-10' to each side of the equation. 10 + -10 + 2h = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 2h = -12 + -10 2h = -12 + -10 Combine like terms: -12 + -10 = -22 2h = -22 Divide each side by '2'. h = -11 Simplifying h = -11
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