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Simplifying 6(3 + -4h) + -5h = 10h + -411 (3 * 6 + -4h * 6) + -5h = 10h + -411 (18 + -24h) + -5h = 10h + -411 Combine like terms: -24h + -5h = -29h 18 + -29h = 10h + -411 Reorder the terms: 18 + -29h = -411 + 10h Solving 18 + -29h = -411 + 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 + -29h + -10h = -411 + 10h + -10h Combine like terms: -29h + -10h = -39h 18 + -39h = -411 + 10h + -10h Combine like terms: 10h + -10h = 0 18 + -39h = -411 + 0 18 + -39h = -411 Add '-18' to each side of the equation. 18 + -18 + -39h = -411 + -18 Combine like terms: 18 + -18 = 0 0 + -39h = -411 + -18 -39h = -411 + -18 Combine like terms: -411 + -18 = -429 -39h = -429 Divide each side by '-39'. h = 11 Simplifying h = 11
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