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Simplifying -8(u + 7) = 9u + 12 Reorder the terms: -8(7 + u) = 9u + 12 (7 * -8 + u * -8) = 9u + 12 (-56 + -8u) = 9u + 12 Reorder the terms: -56 + -8u = 12 + 9u Solving -56 + -8u = 12 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -56 + -8u + -9u = 12 + 9u + -9u Combine like terms: -8u + -9u = -17u -56 + -17u = 12 + 9u + -9u Combine like terms: 9u + -9u = 0 -56 + -17u = 12 + 0 -56 + -17u = 12 Add '56' to each side of the equation. -56 + 56 + -17u = 12 + 56 Combine like terms: -56 + 56 = 0 0 + -17u = 12 + 56 -17u = 12 + 56 Combine like terms: 12 + 56 = 68 -17u = 68 Divide each side by '-17'. u = -4 Simplifying u = -4
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