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Simplifying 7(u + -1) = 2u + 3 + -3(-5u + -2) Reorder the terms: 7(-1 + u) = 2u + 3 + -3(-5u + -2) (-1 * 7 + u * 7) = 2u + 3 + -3(-5u + -2) (-7 + 7u) = 2u + 3 + -3(-5u + -2) Reorder the terms: -7 + 7u = 2u + 3 + -3(-2 + -5u) -7 + 7u = 2u + 3 + (-2 * -3 + -5u * -3) -7 + 7u = 2u + 3 + (6 + 15u) Reorder the terms: -7 + 7u = 3 + 6 + 2u + 15u Combine like terms: 3 + 6 = 9 -7 + 7u = 9 + 2u + 15u Combine like terms: 2u + 15u = 17u -7 + 7u = 9 + 17u Solving -7 + 7u = 9 + 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 = 9 + 17u + -17u Combine like terms: 7u + -17u = -10u -7 + -10u = 9 + 17u + -17u Combine like terms: 17u + -17u = 0 -7 + -10u = 9 + 0 -7 + -10u = 9 Add '7' to each side of the equation. -7 + 7 + -10u = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -10u = 9 + 7 -10u = 9 + 7 Combine like terms: 9 + 7 = 16 -10u = 16 Divide each side by '-10'. u = -1.6 Simplifying u = -1.6
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