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Simplifying 4h + 9 = 3(-1h + 46) Reorder the terms: 9 + 4h = 3(-1h + 46) Reorder the terms: 9 + 4h = 3(46 + -1h) 9 + 4h = (46 * 3 + -1h * 3) 9 + 4h = (138 + -3h) Solving 9 + 4h = 138 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. 9 + 4h + 3h = 138 + -3h + 3h Combine like terms: 4h + 3h = 7h 9 + 7h = 138 + -3h + 3h Combine like terms: -3h + 3h = 0 9 + 7h = 138 + 0 9 + 7h = 138 Add '-9' to each side of the equation. 9 + -9 + 7h = 138 + -9 Combine like terms: 9 + -9 = 0 0 + 7h = 138 + -9 7h = 138 + -9 Combine like terms: 138 + -9 = 129 7h = 129 Divide each side by '7'. h = 18.42857143 Simplifying h = 18.42857143
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