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Simplifying -2(7u + -4) + 5u = 3(u + 2) Reorder the terms: -2(-4 + 7u) + 5u = 3(u + 2) (-4 * -2 + 7u * -2) + 5u = 3(u + 2) (8 + -14u) + 5u = 3(u + 2) Combine like terms: -14u + 5u = -9u 8 + -9u = 3(u + 2) Reorder the terms: 8 + -9u = 3(2 + u) 8 + -9u = (2 * 3 + u * 3) 8 + -9u = (6 + 3u) Solving 8 + -9u = 6 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 8 + -9u + -3u = 6 + 3u + -3u Combine like terms: -9u + -3u = -12u 8 + -12u = 6 + 3u + -3u Combine like terms: 3u + -3u = 0 8 + -12u = 6 + 0 8 + -12u = 6 Add '-8' to each side of the equation. 8 + -8 + -12u = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -12u = 6 + -8 -12u = 6 + -8 Combine like terms: 6 + -8 = -2 -12u = -2 Divide each side by '-12'. u = 0.1666666667 Simplifying u = 0.1666666667
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