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Simplifying -7(u + 1) = 3u + -7 + 2(3u + 2) Reorder the terms: -7(1 + u) = 3u + -7 + 2(3u + 2) (1 * -7 + u * -7) = 3u + -7 + 2(3u + 2) (-7 + -7u) = 3u + -7 + 2(3u + 2) Reorder the terms: -7 + -7u = 3u + -7 + 2(2 + 3u) -7 + -7u = 3u + -7 + (2 * 2 + 3u * 2) -7 + -7u = 3u + -7 + (4 + 6u) Reorder the terms: -7 + -7u = -7 + 4 + 3u + 6u Combine like terms: -7 + 4 = -3 -7 + -7u = -3 + 3u + 6u Combine like terms: 3u + 6u = 9u -7 + -7u = -3 + 9u Solving -7 + -7u = -3 + 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. -7 + -7u + -9u = -3 + 9u + -9u Combine like terms: -7u + -9u = -16u -7 + -16u = -3 + 9u + -9u Combine like terms: 9u + -9u = 0 -7 + -16u = -3 + 0 -7 + -16u = -3 Add '7' to each side of the equation. -7 + 7 + -16u = -3 + 7 Combine like terms: -7 + 7 = 0 0 + -16u = -3 + 7 -16u = -3 + 7 Combine like terms: -3 + 7 = 4 -16u = 4 Divide each side by '-16'. u = -0.25 Simplifying u = -0.25
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