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Simplifying 6(4h + -3) = 3(5h + -3) Reorder the terms: 6(-3 + 4h) = 3(5h + -3) (-3 * 6 + 4h * 6) = 3(5h + -3) (-18 + 24h) = 3(5h + -3) Reorder the terms: -18 + 24h = 3(-3 + 5h) -18 + 24h = (-3 * 3 + 5h * 3) -18 + 24h = (-9 + 15h) Solving -18 + 24h = -9 + 15h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-15h' to each side of the equation. -18 + 24h + -15h = -9 + 15h + -15h Combine like terms: 24h + -15h = 9h -18 + 9h = -9 + 15h + -15h Combine like terms: 15h + -15h = 0 -18 + 9h = -9 + 0 -18 + 9h = -9 Add '18' to each side of the equation. -18 + 18 + 9h = -9 + 18 Combine like terms: -18 + 18 = 0 0 + 9h = -9 + 18 9h = -9 + 18 Combine like terms: -9 + 18 = 9 9h = 9 Divide each side by '9'. h = 1 Simplifying h = 1
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