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Simplifying 7u + 12 = -3(u + 6) Reorder the terms: 12 + 7u = -3(u + 6) Reorder the terms: 12 + 7u = -3(6 + u) 12 + 7u = (6 * -3 + u * -3) 12 + 7u = (-18 + -3u) Solving 12 + 7u = -18 + -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 + 7u + 3u = -18 + -3u + 3u Combine like terms: 7u + 3u = 10u 12 + 10u = -18 + -3u + 3u Combine like terms: -3u + 3u = 0 12 + 10u = -18 + 0 12 + 10u = -18 Add '-12' to each side of the equation. 12 + -12 + 10u = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 10u = -18 + -12 10u = -18 + -12 Combine like terms: -18 + -12 = -30 10u = -30 Divide each side by '10'. u = -3 Simplifying u = -3
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