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Simplifying -8(u + 1) = -3u + 12 Reorder the terms: -8(1 + u) = -3u + 12 (1 * -8 + u * -8) = -3u + 12 (-8 + -8u) = -3u + 12 Reorder the terms: -8 + -8u = 12 + -3u Solving -8 + -8u = 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. -8 + -8u + 3u = 12 + -3u + 3u Combine like terms: -8u + 3u = -5u -8 + -5u = 12 + -3u + 3u Combine like terms: -3u + 3u = 0 -8 + -5u = 12 + 0 -8 + -5u = 12 Add '8' to each side of the equation. -8 + 8 + -5u = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5u = 12 + 8 -5u = 12 + 8 Combine like terms: 12 + 8 = 20 -5u = 20 Divide each side by '-5'. u = -4 Simplifying u = -4
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