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Simplifying -4(u + 6) = (3u + -4) Reorder the terms: -4(6 + u) = (3u + -4) (6 * -4 + u * -4) = (3u + -4) (-24 + -4u) = (3u + -4) Reorder the terms: -24 + -4u = (-4 + 3u) Remove parenthesis around (-4 + 3u) -24 + -4u = -4 + 3u Solving -24 + -4u = -4 + 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. -24 + -4u + -3u = -4 + 3u + -3u Combine like terms: -4u + -3u = -7u -24 + -7u = -4 + 3u + -3u Combine like terms: 3u + -3u = 0 -24 + -7u = -4 + 0 -24 + -7u = -4 Add '24' to each side of the equation. -24 + 24 + -7u = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -7u = -4 + 24 -7u = -4 + 24 Combine like terms: -4 + 24 = 20 -7u = 20 Divide each side by '-7'. u = -2.857142857 Simplifying u = -2.857142857
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