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Simplifying 9u + -12 = -3(u + -4) Reorder the terms: -12 + 9u = -3(u + -4) Reorder the terms: -12 + 9u = -3(-4 + u) -12 + 9u = (-4 * -3 + u * -3) -12 + 9u = (12 + -3u) Solving -12 + 9u = 12 + -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 + 9u + 3u = 12 + -3u + 3u Combine like terms: 9u + 3u = 12u -12 + 12u = 12 + -3u + 3u Combine like terms: -3u + 3u = 0 -12 + 12u = 12 + 0 -12 + 12u = 12 Add '12' to each side of the equation. -12 + 12 + 12u = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 12u = 12 + 12 12u = 12 + 12 Combine like terms: 12 + 12 = 24 12u = 24 Divide each side by '12'. u = 2 Simplifying u = 2
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