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Simplifying -3(6u + -7) + 9u = 7(u + 1) Reorder the terms: -3(-7 + 6u) + 9u = 7(u + 1) (-7 * -3 + 6u * -3) + 9u = 7(u + 1) (21 + -18u) + 9u = 7(u + 1) Combine like terms: -18u + 9u = -9u 21 + -9u = 7(u + 1) Reorder the terms: 21 + -9u = 7(1 + u) 21 + -9u = (1 * 7 + u * 7) 21 + -9u = (7 + 7u) Solving 21 + -9u = 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. 21 + -9u + -7u = 7 + 7u + -7u Combine like terms: -9u + -7u = -16u 21 + -16u = 7 + 7u + -7u Combine like terms: 7u + -7u = 0 21 + -16u = 7 + 0 21 + -16u = 7 Add '-21' to each side of the equation. 21 + -21 + -16u = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -16u = 7 + -21 -16u = 7 + -21 Combine like terms: 7 + -21 = -14 -16u = -14 Divide each side by '-16'. u = 0.875 Simplifying u = 0.875
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