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Simplifying 7(u + -1) = 3u + 3 + -2(-7u + -1) Reorder the terms: 7(-1 + u) = 3u + 3 + -2(-7u + -1) (-1 * 7 + u * 7) = 3u + 3 + -2(-7u + -1) (-7 + 7u) = 3u + 3 + -2(-7u + -1) Reorder the terms: -7 + 7u = 3u + 3 + -2(-1 + -7u) -7 + 7u = 3u + 3 + (-1 * -2 + -7u * -2) -7 + 7u = 3u + 3 + (2 + 14u) Reorder the terms: -7 + 7u = 3 + 2 + 3u + 14u Combine like terms: 3 + 2 = 5 -7 + 7u = 5 + 3u + 14u Combine like terms: 3u + 14u = 17u -7 + 7u = 5 + 17u Solving -7 + 7u = 5 + 17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17u' to each side of the equation. -7 + 7u + -17u = 5 + 17u + -17u Combine like terms: 7u + -17u = -10u -7 + -10u = 5 + 17u + -17u Combine like terms: 17u + -17u = 0 -7 + -10u = 5 + 0 -7 + -10u = 5 Add '7' to each side of the equation. -7 + 7 + -10u = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -10u = 5 + 7 -10u = 5 + 7 Combine like terms: 5 + 7 = 12 -10u = 12 Divide each side by '-10'. u = -1.2 Simplifying u = -1.2
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