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Simplifying 7(u + -8) = 9u + -40 Reorder the terms: 7(-8 + u) = 9u + -40 (-8 * 7 + u * 7) = 9u + -40 (-56 + 7u) = 9u + -40 Reorder the terms: -56 + 7u = -40 + 9u Solving -56 + 7u = -40 + 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 + 7u + -9u = -40 + 9u + -9u Combine like terms: 7u + -9u = -2u -56 + -2u = -40 + 9u + -9u Combine like terms: 9u + -9u = 0 -56 + -2u = -40 + 0 -56 + -2u = -40 Add '56' to each side of the equation. -56 + 56 + -2u = -40 + 56 Combine like terms: -56 + 56 = 0 0 + -2u = -40 + 56 -2u = -40 + 56 Combine like terms: -40 + 56 = 16 -2u = 16 Divide each side by '-2'. u = -8 Simplifying u = -8
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