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Simplifying (2 * 5 + -8)(3h + 6) = [(12h + h) + 6] * 2 Multiply 2 * 5 (10 + -8)(3h + 6) = [(12h + h) + 6] * 2 Combine like terms: 10 + -8 = 2 (2)(3h + 6) = [(12h + h) + 6] * 2 Reorder the terms: 2(6 + 3h) = [(12h + h) + 6] * 2 (6 * 2 + 3h * 2) = [(12h + h) + 6] * 2 (12 + 6h) = [(12h + h) + 6] * 2 Combine like terms: 12h + h = 13h 12 + 6h = [(13h) + 6] * 2 12 + 6h = [(13h) + 6] * 2 Reorder the terms: 12 + 6h = [6 + (13h)] * 2 Reorder the terms for easier multiplication: 12 + 6h = 2[6 + (13h)] 12 + 6h = [6 * 2 + (13h) * 2] 12 + 6h = [12 + 26h] Add '-12' to each side of the equation. 12 + -12 + 6h = 12 + -12 + 26h Combine like terms: 12 + -12 = 0 0 + 6h = 12 + -12 + 26h 6h = 12 + -12 + 26h Combine like terms: 12 + -12 = 0 6h = 0 + 26h 6h = 26h Solving 6h = 26h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-26h' to each side of the equation. 6h + -26h = 26h + -26h Combine like terms: 6h + -26h = -20h -20h = 26h + -26h Combine like terms: 26h + -26h = 0 -20h = 0 Divide each side by '-20'. h = 0.0 Simplifying h = 0.0
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