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Simplifying 3u + 12 = -5(u + -4) Reorder the terms: 12 + 3u = -5(u + -4) Reorder the terms: 12 + 3u = -5(-4 + u) 12 + 3u = (-4 * -5 + u * -5) 12 + 3u = (20 + -5u) Solving 12 + 3u = 20 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 12 + 3u + 5u = 20 + -5u + 5u Combine like terms: 3u + 5u = 8u 12 + 8u = 20 + -5u + 5u Combine like terms: -5u + 5u = 0 12 + 8u = 20 + 0 12 + 8u = 20 Add '-12' to each side of the equation. 12 + -12 + 8u = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 8u = 20 + -12 8u = 20 + -12 Combine like terms: 20 + -12 = 8 8u = 8 Divide each side by '8'. u = 1 Simplifying u = 1
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