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Simplifying -5(u + 3) = u + -1 + 2(3u + 1) Reorder the terms: -5(3 + u) = u + -1 + 2(3u + 1) (3 * -5 + u * -5) = u + -1 + 2(3u + 1) (-15 + -5u) = u + -1 + 2(3u + 1) Reorder the terms: -15 + -5u = u + -1 + 2(1 + 3u) -15 + -5u = u + -1 + (1 * 2 + 3u * 2) -15 + -5u = u + -1 + (2 + 6u) Reorder the terms: -15 + -5u = -1 + 2 + u + 6u Combine like terms: -1 + 2 = 1 -15 + -5u = 1 + u + 6u Combine like terms: u + 6u = 7u -15 + -5u = 1 + 7u Solving -15 + -5u = 1 + 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. -15 + -5u + -7u = 1 + 7u + -7u Combine like terms: -5u + -7u = -12u -15 + -12u = 1 + 7u + -7u Combine like terms: 7u + -7u = 0 -15 + -12u = 1 + 0 -15 + -12u = 1 Add '15' to each side of the equation. -15 + 15 + -12u = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -12u = 1 + 15 -12u = 1 + 15 Combine like terms: 1 + 15 = 16 -12u = 16 Divide each side by '-12'. u = -1.333333333 Simplifying u = -1.333333333
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