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Simplifying -7(h + -9) + 12 = 5(3h + -9) + -12 Reorder the terms: -7(-9 + h) + 12 = 5(3h + -9) + -12 (-9 * -7 + h * -7) + 12 = 5(3h + -9) + -12 (63 + -7h) + 12 = 5(3h + -9) + -12 Reorder the terms: 63 + 12 + -7h = 5(3h + -9) + -12 Combine like terms: 63 + 12 = 75 75 + -7h = 5(3h + -9) + -12 Reorder the terms: 75 + -7h = 5(-9 + 3h) + -12 75 + -7h = (-9 * 5 + 3h * 5) + -12 75 + -7h = (-45 + 15h) + -12 Reorder the terms: 75 + -7h = -45 + -12 + 15h Combine like terms: -45 + -12 = -57 75 + -7h = -57 + 15h Solving 75 + -7h = -57 + 15h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-15h' to each side of the equation. 75 + -7h + -15h = -57 + 15h + -15h Combine like terms: -7h + -15h = -22h 75 + -22h = -57 + 15h + -15h Combine like terms: 15h + -15h = 0 75 + -22h = -57 + 0 75 + -22h = -57 Add '-75' to each side of the equation. 75 + -75 + -22h = -57 + -75 Combine like terms: 75 + -75 = 0 0 + -22h = -57 + -75 -22h = -57 + -75 Combine like terms: -57 + -75 = -132 -22h = -132 Divide each side by '-22'. h = 6 Simplifying h = 6
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