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Simplifying -12 = 3(u + -3) + -2(3u + 3) Reorder the terms: -12 = 3(-3 + u) + -2(3u + 3) -12 = (-3 * 3 + u * 3) + -2(3u + 3) -12 = (-9 + 3u) + -2(3u + 3) Reorder the terms: -12 = -9 + 3u + -2(3 + 3u) -12 = -9 + 3u + (3 * -2 + 3u * -2) -12 = -9 + 3u + (-6 + -6u) Reorder the terms: -12 = -9 + -6 + 3u + -6u Combine like terms: -9 + -6 = -15 -12 = -15 + 3u + -6u Combine like terms: 3u + -6u = -3u -12 = -15 + -3u Solving -12 = -15 + -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. -12 + 3u = -15 + -3u + 3u Combine like terms: -3u + 3u = 0 -12 + 3u = -15 + 0 -12 + 3u = -15 Add '12' to each side of the equation. -12 + 12 + 3u = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 3u = -15 + 12 3u = -15 + 12 Combine like terms: -15 + 12 = -3 3u = -3 Divide each side by '3'. u = -1 Simplifying u = -1
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