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Simplifying 3(8 + -1h) + -7 = 13 + -1(8 + -1h) (8 * 3 + -1h * 3) + -7 = 13 + -1(8 + -1h) (24 + -3h) + -7 = 13 + -1(8 + -1h) Reorder the terms: 24 + -7 + -3h = 13 + -1(8 + -1h) Combine like terms: 24 + -7 = 17 17 + -3h = 13 + -1(8 + -1h) 17 + -3h = 13 + (8 * -1 + -1h * -1) 17 + -3h = 13 + (-8 + 1h) Combine like terms: 13 + -8 = 5 17 + -3h = 5 + 1h Solving 17 + -3h = 5 + 1h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. 17 + -3h + -1h = 5 + 1h + -1h Combine like terms: -3h + -1h = -4h 17 + -4h = 5 + 1h + -1h Combine like terms: 1h + -1h = 0 17 + -4h = 5 + 0 17 + -4h = 5 Add '-17' to each side of the equation. 17 + -17 + -4h = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -4h = 5 + -17 -4h = 5 + -17 Combine like terms: 5 + -17 = -12 -4h = -12 Divide each side by '-4'. h = 3 Simplifying h = 3
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