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Simplifying 3u + -12 = -3(u + -8) Reorder the terms: -12 + 3u = -3(u + -8) Reorder the terms: -12 + 3u = -3(-8 + u) -12 + 3u = (-8 * -3 + u * -3) -12 + 3u = (24 + -3u) Solving -12 + 3u = 24 + -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 + 3u = 24 + -3u + 3u Combine like terms: 3u + 3u = 6u -12 + 6u = 24 + -3u + 3u Combine like terms: -3u + 3u = 0 -12 + 6u = 24 + 0 -12 + 6u = 24 Add '12' to each side of the equation. -12 + 12 + 6u = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 6u = 24 + 12 6u = 24 + 12 Combine like terms: 24 + 12 = 36 6u = 36 Divide each side by '6'. u = 6 Simplifying u = 6
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