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Simplifying 4(h + 3) = 3(h + 2) Reorder the terms: 4(3 + h) = 3(h + 2) (3 * 4 + h * 4) = 3(h + 2) (12 + 4h) = 3(h + 2) Reorder the terms: 12 + 4h = 3(2 + h) 12 + 4h = (2 * 3 + h * 3) 12 + 4h = (6 + 3h) Solving 12 + 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. 12 + 4h + -3h = 6 + 3h + -3h Combine like terms: 4h + -3h = 1h 12 + 1h = 6 + 3h + -3h Combine like terms: 3h + -3h = 0 12 + 1h = 6 + 0 12 + 1h = 6 Add '-12' to each side of the equation. 12 + -12 + 1h = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1h = 6 + -12 1h = 6 + -12 Combine like terms: 6 + -12 = -6 1h = -6 Divide each side by '1'. h = -6 Simplifying h = -6
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