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Simplifying -4(4u + -3) + 3u = 2(u + 1) Reorder the terms: -4(-3 + 4u) + 3u = 2(u + 1) (-3 * -4 + 4u * -4) + 3u = 2(u + 1) (12 + -16u) + 3u = 2(u + 1) Combine like terms: -16u + 3u = -13u 12 + -13u = 2(u + 1) Reorder the terms: 12 + -13u = 2(1 + u) 12 + -13u = (1 * 2 + u * 2) 12 + -13u = (2 + 2u) Solving 12 + -13u = 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 + -13u + -2u = 2 + 2u + -2u Combine like terms: -13u + -2u = -15u 12 + -15u = 2 + 2u + -2u Combine like terms: 2u + -2u = 0 12 + -15u = 2 + 0 12 + -15u = 2 Add '-12' to each side of the equation. 12 + -12 + -15u = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -15u = 2 + -12 -15u = 2 + -12 Combine like terms: 2 + -12 = -10 -15u = -10 Divide each side by '-15'. u = 0.6666666667 Simplifying u = 0.6666666667
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