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Simplifying -7(u + -6) = -3u + 18 Reorder the terms: -7(-6 + u) = -3u + 18 (-6 * -7 + u * -7) = -3u + 18 (42 + -7u) = -3u + 18 Reorder the terms: 42 + -7u = 18 + -3u Solving 42 + -7u = 18 + -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. 42 + -7u + 3u = 18 + -3u + 3u Combine like terms: -7u + 3u = -4u 42 + -4u = 18 + -3u + 3u Combine like terms: -3u + 3u = 0 42 + -4u = 18 + 0 42 + -4u = 18 Add '-42' to each side of the equation. 42 + -42 + -4u = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -4u = 18 + -42 -4u = 18 + -42 Combine like terms: 18 + -42 = -24 -4u = -24 Divide each side by '-4'. u = 6 Simplifying u = 6
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