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Simplifying 31 + 3h = 5(9h + 4) Reorder the terms: 31 + 3h = 5(4 + 9h) 31 + 3h = (4 * 5 + 9h * 5) 31 + 3h = (20 + 45h) Solving 31 + 3h = 20 + 45h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-45h' to each side of the equation. 31 + 3h + -45h = 20 + 45h + -45h Combine like terms: 3h + -45h = -42h 31 + -42h = 20 + 45h + -45h Combine like terms: 45h + -45h = 0 31 + -42h = 20 + 0 31 + -42h = 20 Add '-31' to each side of the equation. 31 + -31 + -42h = 20 + -31 Combine like terms: 31 + -31 = 0 0 + -42h = 20 + -31 -42h = 20 + -31 Combine like terms: 20 + -31 = -11 -42h = -11 Divide each side by '-42'. h = 0.2619047619 Simplifying h = 0.2619047619
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