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Simplifying 3(h + 3) = 6(h + -2) Reorder the terms: 3(3 + h) = 6(h + -2) (3 * 3 + h * 3) = 6(h + -2) (9 + 3h) = 6(h + -2) Reorder the terms: 9 + 3h = 6(-2 + h) 9 + 3h = (-2 * 6 + h * 6) 9 + 3h = (-12 + 6h) Solving 9 + 3h = -12 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. 9 + 3h + -6h = -12 + 6h + -6h Combine like terms: 3h + -6h = -3h 9 + -3h = -12 + 6h + -6h Combine like terms: 6h + -6h = 0 9 + -3h = -12 + 0 9 + -3h = -12 Add '-9' to each side of the equation. 9 + -9 + -3h = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -3h = -12 + -9 -3h = -12 + -9 Combine like terms: -12 + -9 = -21 -3h = -21 Divide each side by '-3'. h = 7 Simplifying h = 7
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