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Simplifying -3(5u + -7) + 3u = 3(u + 9) Reorder the terms: -3(-7 + 5u) + 3u = 3(u + 9) (-7 * -3 + 5u * -3) + 3u = 3(u + 9) (21 + -15u) + 3u = 3(u + 9) Combine like terms: -15u + 3u = -12u 21 + -12u = 3(u + 9) Reorder the terms: 21 + -12u = 3(9 + u) 21 + -12u = (9 * 3 + u * 3) 21 + -12u = (27 + 3u) Solving 21 + -12u = 27 + 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. 21 + -12u + -3u = 27 + 3u + -3u Combine like terms: -12u + -3u = -15u 21 + -15u = 27 + 3u + -3u Combine like terms: 3u + -3u = 0 21 + -15u = 27 + 0 21 + -15u = 27 Add '-21' to each side of the equation. 21 + -21 + -15u = 27 + -21 Combine like terms: 21 + -21 = 0 0 + -15u = 27 + -21 -15u = 27 + -21 Combine like terms: 27 + -21 = 6 -15u = 6 Divide each side by '-15'. u = -0.4 Simplifying u = -0.4
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