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Simplifying 6(4h + 7) + 2(h + -5) + -1(h + -11) = 18 Reorder the terms: 6(7 + 4h) + 2(h + -5) + -1(h + -11) = 18 (7 * 6 + 4h * 6) + 2(h + -5) + -1(h + -11) = 18 (42 + 24h) + 2(h + -5) + -1(h + -11) = 18 Reorder the terms: 42 + 24h + 2(-5 + h) + -1(h + -11) = 18 42 + 24h + (-5 * 2 + h * 2) + -1(h + -11) = 18 42 + 24h + (-10 + 2h) + -1(h + -11) = 18 Reorder the terms: 42 + 24h + -10 + 2h + -1(-11 + h) = 18 42 + 24h + -10 + 2h + (-11 * -1 + h * -1) = 18 42 + 24h + -10 + 2h + (11 + -1h) = 18 Reorder the terms: 42 + -10 + 11 + 24h + 2h + -1h = 18 Combine like terms: 42 + -10 = 32 32 + 11 + 24h + 2h + -1h = 18 Combine like terms: 32 + 11 = 43 43 + 24h + 2h + -1h = 18 Combine like terms: 24h + 2h = 26h 43 + 26h + -1h = 18 Combine like terms: 26h + -1h = 25h 43 + 25h = 18 Solving 43 + 25h = 18 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 25h = 18 + -43 Combine like terms: 43 + -43 = 0 0 + 25h = 18 + -43 25h = 18 + -43 Combine like terms: 18 + -43 = -25 25h = -25 Divide each side by '25'. h = -1 Simplifying h = -1
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