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Simplifying 4(5h + 7) + -3h = 3(4h + -9) Reorder the terms: 4(7 + 5h) + -3h = 3(4h + -9) (7 * 4 + 5h * 4) + -3h = 3(4h + -9) (28 + 20h) + -3h = 3(4h + -9) Combine like terms: 20h + -3h = 17h 28 + 17h = 3(4h + -9) Reorder the terms: 28 + 17h = 3(-9 + 4h) 28 + 17h = (-9 * 3 + 4h * 3) 28 + 17h = (-27 + 12h) Solving 28 + 17h = -27 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. 28 + 17h + -12h = -27 + 12h + -12h Combine like terms: 17h + -12h = 5h 28 + 5h = -27 + 12h + -12h Combine like terms: 12h + -12h = 0 28 + 5h = -27 + 0 28 + 5h = -27 Add '-28' to each side of the equation. 28 + -28 + 5h = -27 + -28 Combine like terms: 28 + -28 = 0 0 + 5h = -27 + -28 5h = -27 + -28 Combine like terms: -27 + -28 = -55 5h = -55 Divide each side by '5'. h = -11 Simplifying h = -11
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