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Simplifying 6(u + -1) = 7u + 5 + -3(-3u + -1) Reorder the terms: 6(-1 + u) = 7u + 5 + -3(-3u + -1) (-1 * 6 + u * 6) = 7u + 5 + -3(-3u + -1) (-6 + 6u) = 7u + 5 + -3(-3u + -1) Reorder the terms: -6 + 6u = 7u + 5 + -3(-1 + -3u) -6 + 6u = 7u + 5 + (-1 * -3 + -3u * -3) -6 + 6u = 7u + 5 + (3 + 9u) Reorder the terms: -6 + 6u = 5 + 3 + 7u + 9u Combine like terms: 5 + 3 = 8 -6 + 6u = 8 + 7u + 9u Combine like terms: 7u + 9u = 16u -6 + 6u = 8 + 16u Solving -6 + 6u = 8 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. -6 + 6u + -16u = 8 + 16u + -16u Combine like terms: 6u + -16u = -10u -6 + -10u = 8 + 16u + -16u Combine like terms: 16u + -16u = 0 -6 + -10u = 8 + 0 -6 + -10u = 8 Add '6' to each side of the equation. -6 + 6 + -10u = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -10u = 8 + 6 -10u = 8 + 6 Combine like terms: 8 + 6 = 14 -10u = 14 Divide each side by '-10'. u = -1.4 Simplifying u = -1.4
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