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Simplifying 4(h + 3) = 5(h + -2) + -2h Reorder the terms: 4(3 + h) = 5(h + -2) + -2h (3 * 4 + h * 4) = 5(h + -2) + -2h (12 + 4h) = 5(h + -2) + -2h Reorder the terms: 12 + 4h = 5(-2 + h) + -2h 12 + 4h = (-2 * 5 + h * 5) + -2h 12 + 4h = (-10 + 5h) + -2h Combine like terms: 5h + -2h = 3h 12 + 4h = -10 + 3h Solving 12 + 4h = -10 + 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 = -10 + 3h + -3h Combine like terms: 4h + -3h = 1h 12 + 1h = -10 + 3h + -3h Combine like terms: 3h + -3h = 0 12 + 1h = -10 + 0 12 + 1h = -10 Add '-12' to each side of the equation. 12 + -12 + 1h = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 1h = -10 + -12 1h = -10 + -12 Combine like terms: -10 + -12 = -22 1h = -22 Divide each side by '1'. h = -22 Simplifying h = -22
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