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Simplifying 5h + 9 = 3(h + -5) + 7 Reorder the terms: 9 + 5h = 3(h + -5) + 7 Reorder the terms: 9 + 5h = 3(-5 + h) + 7 9 + 5h = (-5 * 3 + h * 3) + 7 9 + 5h = (-15 + 3h) + 7 Reorder the terms: 9 + 5h = -15 + 7 + 3h Combine like terms: -15 + 7 = -8 9 + 5h = -8 + 3h Solving 9 + 5h = -8 + 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. 9 + 5h + -3h = -8 + 3h + -3h Combine like terms: 5h + -3h = 2h 9 + 2h = -8 + 3h + -3h Combine like terms: 3h + -3h = 0 9 + 2h = -8 + 0 9 + 2h = -8 Add '-9' to each side of the equation. 9 + -9 + 2h = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 2h = -8 + -9 2h = -8 + -9 Combine like terms: -8 + -9 = -17 2h = -17 Divide each side by '2'. h = -8.5 Simplifying h = -8.5
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