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Simplifying 3(h + -6) = 2(5 + -2h) Reorder the terms: 3(-6 + h) = 2(5 + -2h) (-6 * 3 + h * 3) = 2(5 + -2h) (-18 + 3h) = 2(5 + -2h) -18 + 3h = (5 * 2 + -2h * 2) -18 + 3h = (10 + -4h) Solving -18 + 3h = 10 + -4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '4h' to each side of the equation. -18 + 3h + 4h = 10 + -4h + 4h Combine like terms: 3h + 4h = 7h -18 + 7h = 10 + -4h + 4h Combine like terms: -4h + 4h = 0 -18 + 7h = 10 + 0 -18 + 7h = 10 Add '18' to each side of the equation. -18 + 18 + 7h = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 7h = 10 + 18 7h = 10 + 18 Combine like terms: 10 + 18 = 28 7h = 28 Divide each side by '7'. h = 4 Simplifying h = 4
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