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Simplifying -2(3u + -4) + 8u = -7(u + 1) Reorder the terms: -2(-4 + 3u) + 8u = -7(u + 1) (-4 * -2 + 3u * -2) + 8u = -7(u + 1) (8 + -6u) + 8u = -7(u + 1) Combine like terms: -6u + 8u = 2u 8 + 2u = -7(u + 1) Reorder the terms: 8 + 2u = -7(1 + u) 8 + 2u = (1 * -7 + u * -7) 8 + 2u = (-7 + -7u) Solving 8 + 2u = -7 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. 8 + 2u + 7u = -7 + -7u + 7u Combine like terms: 2u + 7u = 9u 8 + 9u = -7 + -7u + 7u Combine like terms: -7u + 7u = 0 8 + 9u = -7 + 0 8 + 9u = -7 Add '-8' to each side of the equation. 8 + -8 + 9u = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 9u = -7 + -8 9u = -7 + -8 Combine like terms: -7 + -8 = -15 9u = -15 Divide each side by '9'. u = -1.666666667 Simplifying u = -1.666666667
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