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Simplifying 2(5h + 4) = 6(2h + 3) + -3(5h + 1) Reorder the terms: 2(4 + 5h) = 6(2h + 3) + -3(5h + 1) (4 * 2 + 5h * 2) = 6(2h + 3) + -3(5h + 1) (8 + 10h) = 6(2h + 3) + -3(5h + 1) Reorder the terms: 8 + 10h = 6(3 + 2h) + -3(5h + 1) 8 + 10h = (3 * 6 + 2h * 6) + -3(5h + 1) 8 + 10h = (18 + 12h) + -3(5h + 1) Reorder the terms: 8 + 10h = 18 + 12h + -3(1 + 5h) 8 + 10h = 18 + 12h + (1 * -3 + 5h * -3) 8 + 10h = 18 + 12h + (-3 + -15h) Reorder the terms: 8 + 10h = 18 + -3 + 12h + -15h Combine like terms: 18 + -3 = 15 8 + 10h = 15 + 12h + -15h Combine like terms: 12h + -15h = -3h 8 + 10h = 15 + -3h Solving 8 + 10h = 15 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. 8 + 10h + 3h = 15 + -3h + 3h Combine like terms: 10h + 3h = 13h 8 + 13h = 15 + -3h + 3h Combine like terms: -3h + 3h = 0 8 + 13h = 15 + 0 8 + 13h = 15 Add '-8' to each side of the equation. 8 + -8 + 13h = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 13h = 15 + -8 13h = 15 + -8 Combine like terms: 15 + -8 = 7 13h = 7 Divide each side by '13'. h = 0.5384615385 Simplifying h = 0.5384615385
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