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Simplifying 3(h + -6) = 3(5 + -2h) Reorder the terms: 3(-6 + h) = 3(5 + -2h) (-6 * 3 + h * 3) = 3(5 + -2h) (-18 + 3h) = 3(5 + -2h) -18 + 3h = (5 * 3 + -2h * 3) -18 + 3h = (15 + -6h) Solving -18 + 3h = 15 + -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. -18 + 3h + 6h = 15 + -6h + 6h Combine like terms: 3h + 6h = 9h -18 + 9h = 15 + -6h + 6h Combine like terms: -6h + 6h = 0 -18 + 9h = 15 + 0 -18 + 9h = 15 Add '18' to each side of the equation. -18 + 18 + 9h = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 9h = 15 + 18 9h = 15 + 18 Combine like terms: 15 + 18 = 33 9h = 33 Divide each side by '9'. h = 3.666666667 Simplifying h = 3.666666667
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