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Simplifying 4h + 14 + -2h = 9 + -1(2 + -3h) Reorder the terms: 14 + 4h + -2h = 9 + -1(2 + -3h) Combine like terms: 4h + -2h = 2h 14 + 2h = 9 + -1(2 + -3h) 14 + 2h = 9 + (2 * -1 + -3h * -1) 14 + 2h = 9 + (-2 + 3h) Combine like terms: 9 + -2 = 7 14 + 2h = 7 + 3h Solving 14 + 2h = 7 + 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. 14 + 2h + -3h = 7 + 3h + -3h Combine like terms: 2h + -3h = -1h 14 + -1h = 7 + 3h + -3h Combine like terms: 3h + -3h = 0 14 + -1h = 7 + 0 14 + -1h = 7 Add '-14' to each side of the equation. 14 + -14 + -1h = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -1h = 7 + -14 -1h = 7 + -14 Combine like terms: 7 + -14 = -7 -1h = -7 Divide each side by '-1'. h = 7 Simplifying h = 7
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