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Simplifying 5(2h + 3) = 4(3h + 1) Reorder the terms: 5(3 + 2h) = 4(3h + 1) (3 * 5 + 2h * 5) = 4(3h + 1) (15 + 10h) = 4(3h + 1) Reorder the terms: 15 + 10h = 4(1 + 3h) 15 + 10h = (1 * 4 + 3h * 4) 15 + 10h = (4 + 12h) Solving 15 + 10h = 4 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. 15 + 10h + -12h = 4 + 12h + -12h Combine like terms: 10h + -12h = -2h 15 + -2h = 4 + 12h + -12h Combine like terms: 12h + -12h = 0 15 + -2h = 4 + 0 15 + -2h = 4 Add '-15' to each side of the equation. 15 + -15 + -2h = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -2h = 4 + -15 -2h = 4 + -15 Combine like terms: 4 + -15 = -11 -2h = -11 Divide each side by '-2'. h = 5.5 Simplifying h = 5.5
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