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Simplifying 3(h + 9) = 4(5 + -3h) + 22 Reorder the terms: 3(9 + h) = 4(5 + -3h) + 22 (9 * 3 + h * 3) = 4(5 + -3h) + 22 (27 + 3h) = 4(5 + -3h) + 22 27 + 3h = (5 * 4 + -3h * 4) + 22 27 + 3h = (20 + -12h) + 22 Reorder the terms: 27 + 3h = 20 + 22 + -12h Combine like terms: 20 + 22 = 42 27 + 3h = 42 + -12h Solving 27 + 3h = 42 + -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. 27 + 3h + 12h = 42 + -12h + 12h Combine like terms: 3h + 12h = 15h 27 + 15h = 42 + -12h + 12h Combine like terms: -12h + 12h = 0 27 + 15h = 42 + 0 27 + 15h = 42 Add '-27' to each side of the equation. 27 + -27 + 15h = 42 + -27 Combine like terms: 27 + -27 = 0 0 + 15h = 42 + -27 15h = 42 + -27 Combine like terms: 42 + -27 = 15 15h = 15 Divide each side by '15'. h = 1 Simplifying h = 1
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