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Simplifying -3(u + 4) + -2u = 2(u + 1) Reorder the terms: -3(4 + u) + -2u = 2(u + 1) (4 * -3 + u * -3) + -2u = 2(u + 1) (-12 + -3u) + -2u = 2(u + 1) Combine like terms: -3u + -2u = -5u -12 + -5u = 2(u + 1) Reorder the terms: -12 + -5u = 2(1 + u) -12 + -5u = (1 * 2 + u * 2) -12 + -5u = (2 + 2u) Solving -12 + -5u = 2 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -12 + -5u + -2u = 2 + 2u + -2u Combine like terms: -5u + -2u = -7u -12 + -7u = 2 + 2u + -2u Combine like terms: 2u + -2u = 0 -12 + -7u = 2 + 0 -12 + -7u = 2 Add '12' to each side of the equation. -12 + 12 + -7u = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -7u = 2 + 12 -7u = 2 + 12 Combine like terms: 2 + 12 = 14 -7u = 14 Divide each side by '-7'. u = -2 Simplifying u = -2
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