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Simplifying 3(u + -1) = 7u + 3 + -2(-4u + -4) Reorder the terms: 3(-1 + u) = 7u + 3 + -2(-4u + -4) (-1 * 3 + u * 3) = 7u + 3 + -2(-4u + -4) (-3 + 3u) = 7u + 3 + -2(-4u + -4) Reorder the terms: -3 + 3u = 7u + 3 + -2(-4 + -4u) -3 + 3u = 7u + 3 + (-4 * -2 + -4u * -2) -3 + 3u = 7u + 3 + (8 + 8u) Reorder the terms: -3 + 3u = 3 + 8 + 7u + 8u Combine like terms: 3 + 8 = 11 -3 + 3u = 11 + 7u + 8u Combine like terms: 7u + 8u = 15u -3 + 3u = 11 + 15u Solving -3 + 3u = 11 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -3 + 3u + -15u = 11 + 15u + -15u Combine like terms: 3u + -15u = -12u -3 + -12u = 11 + 15u + -15u Combine like terms: 15u + -15u = 0 -3 + -12u = 11 + 0 -3 + -12u = 11 Add '3' to each side of the equation. -3 + 3 + -12u = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -12u = 11 + 3 -12u = 11 + 3 Combine like terms: 11 + 3 = 14 -12u = 14 Divide each side by '-12'. u = -1.166666667 Simplifying u = -1.166666667
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