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Simplifying 3(h + -6) = 5(h + 3) Reorder the terms: 3(-6 + h) = 5(h + 3) (-6 * 3 + h * 3) = 5(h + 3) (-18 + 3h) = 5(h + 3) Reorder the terms: -18 + 3h = 5(3 + h) -18 + 3h = (3 * 5 + h * 5) -18 + 3h = (15 + 5h) Solving -18 + 3h = 15 + 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. -18 + 3h + -5h = 15 + 5h + -5h Combine like terms: 3h + -5h = -2h -18 + -2h = 15 + 5h + -5h Combine like terms: 5h + -5h = 0 -18 + -2h = 15 + 0 -18 + -2h = 15 Add '18' to each side of the equation. -18 + 18 + -2h = 15 + 18 Combine like terms: -18 + 18 = 0 0 + -2h = 15 + 18 -2h = 15 + 18 Combine like terms: 15 + 18 = 33 -2h = 33 Divide each side by '-2'. h = -16.5 Simplifying h = -16.5
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