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Simplifying 3(h + -6) = 5(2h + 3) Reorder the terms: 3(-6 + h) = 5(2h + 3) (-6 * 3 + h * 3) = 5(2h + 3) (-18 + 3h) = 5(2h + 3) Reorder the terms: -18 + 3h = 5(3 + 2h) -18 + 3h = (3 * 5 + 2h * 5) -18 + 3h = (15 + 10h) Solving -18 + 3h = 15 + 10h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-10h' to each side of the equation. -18 + 3h + -10h = 15 + 10h + -10h Combine like terms: 3h + -10h = -7h -18 + -7h = 15 + 10h + -10h Combine like terms: 10h + -10h = 0 -18 + -7h = 15 + 0 -18 + -7h = 15 Add '18' to each side of the equation. -18 + 18 + -7h = 15 + 18 Combine like terms: -18 + 18 = 0 0 + -7h = 15 + 18 -7h = 15 + 18 Combine like terms: 15 + 18 = 33 -7h = 33 Divide each side by '-7'. h = -4.714285714 Simplifying h = -4.714285714
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