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Simplifying 4(3u + -1) = 3 + 8u + -11 Reorder the terms: 4(-1 + 3u) = 3 + 8u + -11 (-1 * 4 + 3u * 4) = 3 + 8u + -11 (-4 + 12u) = 3 + 8u + -11 Reorder the terms: -4 + 12u = 3 + -11 + 8u Combine like terms: 3 + -11 = -8 -4 + 12u = -8 + 8u Solving -4 + 12u = -8 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -4 + 12u + -8u = -8 + 8u + -8u Combine like terms: 12u + -8u = 4u -4 + 4u = -8 + 8u + -8u Combine like terms: 8u + -8u = 0 -4 + 4u = -8 + 0 -4 + 4u = -8 Add '4' to each side of the equation. -4 + 4 + 4u = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 4u = -8 + 4 4u = -8 + 4 Combine like terms: -8 + 4 = -4 4u = -4 Divide each side by '4'. u = -1 Simplifying u = -1
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