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Simplifying 69(2 + -1h) = 84(3 + -1h) (2 * 69 + -1h * 69) = 84(3 + -1h) (138 + -69h) = 84(3 + -1h) 138 + -69h = (3 * 84 + -1h * 84) 138 + -69h = (252 + -84h) Solving 138 + -69h = 252 + -84h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '84h' to each side of the equation. 138 + -69h + 84h = 252 + -84h + 84h Combine like terms: -69h + 84h = 15h 138 + 15h = 252 + -84h + 84h Combine like terms: -84h + 84h = 0 138 + 15h = 252 + 0 138 + 15h = 252 Add '-138' to each side of the equation. 138 + -138 + 15h = 252 + -138 Combine like terms: 138 + -138 = 0 0 + 15h = 252 + -138 15h = 252 + -138 Combine like terms: 252 + -138 = 114 15h = 114 Divide each side by '15'. h = 7.6 Simplifying h = 7.6
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