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Simplifying -12 = -4u + 7(u + -3) Reorder the terms: -12 = -4u + 7(-3 + u) -12 = -4u + (-3 * 7 + u * 7) -12 = -4u + (-21 + 7u) Reorder the terms: -12 = -21 + -4u + 7u Combine like terms: -4u + 7u = 3u -12 = -21 + 3u Solving -12 = -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. -12 + -3u = -21 + 3u + -3u Combine like terms: 3u + -3u = 0 -12 + -3u = -21 + 0 -12 + -3u = -21 Add '12' to each side of the equation. -12 + 12 + -3u = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -3u = -21 + 12 -3u = -21 + 12 Combine like terms: -21 + 12 = -9 -3u = -9 Divide each side by '-3'. u = 3 Simplifying u = 3
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