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Simplifying -4(3u + -4) + 9u = 7(u + 2) Reorder the terms: -4(-4 + 3u) + 9u = 7(u + 2) (-4 * -4 + 3u * -4) + 9u = 7(u + 2) (16 + -12u) + 9u = 7(u + 2) Combine like terms: -12u + 9u = -3u 16 + -3u = 7(u + 2) Reorder the terms: 16 + -3u = 7(2 + u) 16 + -3u = (2 * 7 + u * 7) 16 + -3u = (14 + 7u) Solving 16 + -3u = 14 + 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. 16 + -3u + -7u = 14 + 7u + -7u Combine like terms: -3u + -7u = -10u 16 + -10u = 14 + 7u + -7u Combine like terms: 7u + -7u = 0 16 + -10u = 14 + 0 16 + -10u = 14 Add '-16' to each side of the equation. 16 + -16 + -10u = 14 + -16 Combine like terms: 16 + -16 = 0 0 + -10u = 14 + -16 -10u = 14 + -16 Combine like terms: 14 + -16 = -2 -10u = -2 Divide each side by '-10'. u = 0.2 Simplifying u = 0.2
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