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Simplifying 8(3h + 6) = 9(2h + -4) Reorder the terms: 8(6 + 3h) = 9(2h + -4) (6 * 8 + 3h * 8) = 9(2h + -4) (48 + 24h) = 9(2h + -4) Reorder the terms: 48 + 24h = 9(-4 + 2h) 48 + 24h = (-4 * 9 + 2h * 9) 48 + 24h = (-36 + 18h) Solving 48 + 24h = -36 + 18h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-18h' to each side of the equation. 48 + 24h + -18h = -36 + 18h + -18h Combine like terms: 24h + -18h = 6h 48 + 6h = -36 + 18h + -18h Combine like terms: 18h + -18h = 0 48 + 6h = -36 + 0 48 + 6h = -36 Add '-48' to each side of the equation. 48 + -48 + 6h = -36 + -48 Combine like terms: 48 + -48 = 0 0 + 6h = -36 + -48 6h = -36 + -48 Combine like terms: -36 + -48 = -84 6h = -84 Divide each side by '6'. h = -14 Simplifying h = -14
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