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Simplifying -2(h + 3) = -5(h + -6) Reorder the terms: -2(3 + h) = -5(h + -6) (3 * -2 + h * -2) = -5(h + -6) (-6 + -2h) = -5(h + -6) Reorder the terms: -6 + -2h = -5(-6 + h) -6 + -2h = (-6 * -5 + h * -5) -6 + -2h = (30 + -5h) Solving -6 + -2h = 30 + -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. -6 + -2h + 5h = 30 + -5h + 5h Combine like terms: -2h + 5h = 3h -6 + 3h = 30 + -5h + 5h Combine like terms: -5h + 5h = 0 -6 + 3h = 30 + 0 -6 + 3h = 30 Add '6' to each side of the equation. -6 + 6 + 3h = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 3h = 30 + 6 3h = 30 + 6 Combine like terms: 30 + 6 = 36 3h = 36 Divide each side by '3'. h = 12 Simplifying h = 12
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