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Simplifying -7(u + 8) = 7u + 42 Reorder the terms: -7(8 + u) = 7u + 42 (8 * -7 + u * -7) = 7u + 42 (-56 + -7u) = 7u + 42 Reorder the terms: -56 + -7u = 42 + 7u Solving -56 + -7u = 42 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -56 + -7u + -7u = 42 + 7u + -7u Combine like terms: -7u + -7u = -14u -56 + -14u = 42 + 7u + -7u Combine like terms: 7u + -7u = 0 -56 + -14u = 42 + 0 -56 + -14u = 42 Add '56' to each side of the equation. -56 + 56 + -14u = 42 + 56 Combine like terms: -56 + 56 = 0 0 + -14u = 42 + 56 -14u = 42 + 56 Combine like terms: 42 + 56 = 98 -14u = 98 Divide each side by '-14'. u = -7 Simplifying u = -7
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