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Simplifying 6h + 7 = (4h + -71) + -8 Reorder the terms: 7 + 6h = (4h + -71) + -8 Reorder the terms: 7 + 6h = (-71 + 4h) + -8 Remove parenthesis around (-71 + 4h) 7 + 6h = -71 + 4h + -8 Reorder the terms: 7 + 6h = -71 + -8 + 4h Combine like terms: -71 + -8 = -79 7 + 6h = -79 + 4h Solving 7 + 6h = -79 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. 7 + 6h + -4h = -79 + 4h + -4h Combine like terms: 6h + -4h = 2h 7 + 2h = -79 + 4h + -4h Combine like terms: 4h + -4h = 0 7 + 2h = -79 + 0 7 + 2h = -79 Add '-7' to each side of the equation. 7 + -7 + 2h = -79 + -7 Combine like terms: 7 + -7 = 0 0 + 2h = -79 + -7 2h = -79 + -7 Combine like terms: -79 + -7 = -86 2h = -86 Divide each side by '2'. h = -43 Simplifying h = -43
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