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Simplifying 4(h + 2) = 3(h + -3) Reorder the terms: 4(2 + h) = 3(h + -3) (2 * 4 + h * 4) = 3(h + -3) (8 + 4h) = 3(h + -3) Reorder the terms: 8 + 4h = 3(-3 + h) 8 + 4h = (-3 * 3 + h * 3) 8 + 4h = (-9 + 3h) Solving 8 + 4h = -9 + 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. 8 + 4h + -3h = -9 + 3h + -3h Combine like terms: 4h + -3h = 1h 8 + 1h = -9 + 3h + -3h Combine like terms: 3h + -3h = 0 8 + 1h = -9 + 0 8 + 1h = -9 Add '-8' to each side of the equation. 8 + -8 + 1h = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 1h = -9 + -8 1h = -9 + -8 Combine like terms: -9 + -8 = -17 1h = -17 Divide each side by '1'. h = -17 Simplifying h = -17
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