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Simplifying -3(h + 4) = 5(h + -2) Reorder the terms: -3(4 + h) = 5(h + -2) (4 * -3 + h * -3) = 5(h + -2) (-12 + -3h) = 5(h + -2) Reorder the terms: -12 + -3h = 5(-2 + h) -12 + -3h = (-2 * 5 + h * 5) -12 + -3h = (-10 + 5h) Solving -12 + -3h = -10 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. -12 + -3h + -5h = -10 + 5h + -5h Combine like terms: -3h + -5h = -8h -12 + -8h = -10 + 5h + -5h Combine like terms: 5h + -5h = 0 -12 + -8h = -10 + 0 -12 + -8h = -10 Add '12' to each side of the equation. -12 + 12 + -8h = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -8h = -10 + 12 -8h = -10 + 12 Combine like terms: -10 + 12 = 2 -8h = 2 Divide each side by '-8'. h = -0.25 Simplifying h = -0.25
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