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Simplifying 3(h + 6) = 5(2h + 3) Reorder the terms: 3(6 + h) = 5(2h + 3) (6 * 3 + h * 3) = 5(2h + 3) (18 + 3h) = 5(2h + 3) Reorder the terms: 18 + 3h = 5(3 + 2h) 18 + 3h = (3 * 5 + 2h * 5) 18 + 3h = (15 + 10h) Solving 18 + 3h = 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. 18 + 3h + -10h = 15 + 10h + -10h Combine like terms: 3h + -10h = -7h 18 + -7h = 15 + 10h + -10h Combine like terms: 10h + -10h = 0 18 + -7h = 15 + 0 18 + -7h = 15 Add '-18' to each side of the equation. 18 + -18 + -7h = 15 + -18 Combine like terms: 18 + -18 = 0 0 + -7h = 15 + -18 -7h = 15 + -18 Combine like terms: 15 + -18 = -3 -7h = -3 Divide each side by '-7'. h = 0.4285714286 Simplifying h = 0.4285714286
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