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Simplifying 3(3h + h) + 2(h + 5) = 178 Combine like terms: 3h + h = 4h 3(4h) + 2(h + 5) = 178 Remove parenthesis around (4h) 3 * 4h + 2(h + 5) = 178 Multiply 3 * 4 12h + 2(h + 5) = 178 Reorder the terms: 12h + 2(5 + h) = 178 12h + (5 * 2 + h * 2) = 178 12h + (10 + 2h) = 178 Reorder the terms: 10 + 12h + 2h = 178 Combine like terms: 12h + 2h = 14h 10 + 14h = 178 Solving 10 + 14h = 178 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14h = 178 + -10 Combine like terms: 10 + -10 = 0 0 + 14h = 178 + -10 14h = 178 + -10 Combine like terms: 178 + -10 = 168 14h = 168 Divide each side by '14'. h = 12 Simplifying h = 12
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