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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 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 = 28 -7u = 28 Divide each side by '-7'. u = -4 Simplifying u = -4
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