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Simplifying 4(1h + 2) = 3(h + -2) Reorder the terms: 4(2 + 1h) = 3(h + -2) (2 * 4 + 1h * 4) = 3(h + -2) (8 + 4h) = 3(h + -2) Reorder the terms: 8 + 4h = 3(-2 + h) 8 + 4h = (-2 * 3 + h * 3) 8 + 4h = (-6 + 3h) Solving 8 + 4h = -6 + 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 = -6 + 3h + -3h Combine like terms: 4h + -3h = 1h 8 + 1h = -6 + 3h + -3h Combine like terms: 3h + -3h = 0 8 + 1h = -6 + 0 8 + 1h = -6 Add '-8' to each side of the equation. 8 + -8 + 1h = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 1h = -6 + -8 1h = -6 + -8 Combine like terms: -6 + -8 = -14 1h = -14 Divide each side by '1'. h = -14 Simplifying h = -14
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