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Simplifying -9u + 15 = 3(u + -7) Reorder the terms: 15 + -9u = 3(u + -7) Reorder the terms: 15 + -9u = 3(-7 + u) 15 + -9u = (-7 * 3 + u * 3) 15 + -9u = (-21 + 3u) Solving 15 + -9u = -21 + 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. 15 + -9u + -3u = -21 + 3u + -3u Combine like terms: -9u + -3u = -12u 15 + -12u = -21 + 3u + -3u Combine like terms: 3u + -3u = 0 15 + -12u = -21 + 0 15 + -12u = -21 Add '-15' to each side of the equation. 15 + -15 + -12u = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -12u = -21 + -15 -12u = -21 + -15 Combine like terms: -21 + -15 = -36 -12u = -36 Divide each side by '-12'. u = 3 Simplifying u = 3
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