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Simplifying 6h + 7 = 3(4h + -71) + -8 Reorder the terms: 7 + 6h = 3(4h + -71) + -8 Reorder the terms: 7 + 6h = 3(-71 + 4h) + -8 7 + 6h = (-71 * 3 + 4h * 3) + -8 7 + 6h = (-213 + 12h) + -8 Reorder the terms: 7 + 6h = -213 + -8 + 12h Combine like terms: -213 + -8 = -221 7 + 6h = -221 + 12h Solving 7 + 6h = -221 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. 7 + 6h + -12h = -221 + 12h + -12h Combine like terms: 6h + -12h = -6h 7 + -6h = -221 + 12h + -12h Combine like terms: 12h + -12h = 0 7 + -6h = -221 + 0 7 + -6h = -221 Add '-7' to each side of the equation. 7 + -7 + -6h = -221 + -7 Combine like terms: 7 + -7 = 0 0 + -6h = -221 + -7 -6h = -221 + -7 Combine like terms: -221 + -7 = -228 -6h = -228 Divide each side by '-6'. h = 38 Simplifying h = 38
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