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Simplifying 3 + -1(h + -6) = 5(2h + 3) Reorder the terms: 3 + -1(-6 + h) = 5(2h + 3) 3 + (-6 * -1 + h * -1) = 5(2h + 3) 3 + (6 + -1h) = 5(2h + 3) Combine like terms: 3 + 6 = 9 9 + -1h = 5(2h + 3) Reorder the terms: 9 + -1h = 5(3 + 2h) 9 + -1h = (3 * 5 + 2h * 5) 9 + -1h = (15 + 10h) Solving 9 + -1h = 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. 9 + -1h + -10h = 15 + 10h + -10h Combine like terms: -1h + -10h = -11h 9 + -11h = 15 + 10h + -10h Combine like terms: 10h + -10h = 0 9 + -11h = 15 + 0 9 + -11h = 15 Add '-9' to each side of the equation. 9 + -9 + -11h = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -11h = 15 + -9 -11h = 15 + -9 Combine like terms: 15 + -9 = 6 -11h = 6 Divide each side by '-11'. h = -0.5454545455 Simplifying h = -0.5454545455
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