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Simplifying -3u + 30 = 9(u + -6) Reorder the terms: 30 + -3u = 9(u + -6) Reorder the terms: 30 + -3u = 9(-6 + u) 30 + -3u = (-6 * 9 + u * 9) 30 + -3u = (-54 + 9u) Solving 30 + -3u = -54 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 30 + -3u + -9u = -54 + 9u + -9u Combine like terms: -3u + -9u = -12u 30 + -12u = -54 + 9u + -9u Combine like terms: 9u + -9u = 0 30 + -12u = -54 + 0 30 + -12u = -54 Add '-30' to each side of the equation. 30 + -30 + -12u = -54 + -30 Combine like terms: 30 + -30 = 0 0 + -12u = -54 + -30 -12u = -54 + -30 Combine like terms: -54 + -30 = -84 -12u = -84 Divide each side by '-12'. u = 7 Simplifying u = 7
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