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Simplifying -3(h + -4) + 15 = -5(h + -7) + -10 Reorder the terms: -3(-4 + h) + 15 = -5(h + -7) + -10 (-4 * -3 + h * -3) + 15 = -5(h + -7) + -10 (12 + -3h) + 15 = -5(h + -7) + -10 Reorder the terms: 12 + 15 + -3h = -5(h + -7) + -10 Combine like terms: 12 + 15 = 27 27 + -3h = -5(h + -7) + -10 Reorder the terms: 27 + -3h = -5(-7 + h) + -10 27 + -3h = (-7 * -5 + h * -5) + -10 27 + -3h = (35 + -5h) + -10 Reorder the terms: 27 + -3h = 35 + -10 + -5h Combine like terms: 35 + -10 = 25 27 + -3h = 25 + -5h Solving 27 + -3h = 25 + -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. 27 + -3h + 5h = 25 + -5h + 5h Combine like terms: -3h + 5h = 2h 27 + 2h = 25 + -5h + 5h Combine like terms: -5h + 5h = 0 27 + 2h = 25 + 0 27 + 2h = 25 Add '-27' to each side of the equation. 27 + -27 + 2h = 25 + -27 Combine like terms: 27 + -27 = 0 0 + 2h = 25 + -27 2h = 25 + -27 Combine like terms: 25 + -27 = -2 2h = -2 Divide each side by '2'. h = -1 Simplifying h = -1
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