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Simplifying 5(h + 4) = 2(h + -12) Reorder the terms: 5(4 + h) = 2(h + -12) (4 * 5 + h * 5) = 2(h + -12) (20 + 5h) = 2(h + -12) Reorder the terms: 20 + 5h = 2(-12 + h) 20 + 5h = (-12 * 2 + h * 2) 20 + 5h = (-24 + 2h) Solving 20 + 5h = -24 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. 20 + 5h + -2h = -24 + 2h + -2h Combine like terms: 5h + -2h = 3h 20 + 3h = -24 + 2h + -2h Combine like terms: 2h + -2h = 0 20 + 3h = -24 + 0 20 + 3h = -24 Add '-20' to each side of the equation. 20 + -20 + 3h = -24 + -20 Combine like terms: 20 + -20 = 0 0 + 3h = -24 + -20 3h = -24 + -20 Combine like terms: -24 + -20 = -44 3h = -44 Divide each side by '3'. h = -14.66666667 Simplifying h = -14.66666667
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