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Simplifying -7u + 21 = 7(u + -5) Reorder the terms: 21 + -7u = 7(u + -5) Reorder the terms: 21 + -7u = 7(-5 + u) 21 + -7u = (-5 * 7 + u * 7) 21 + -7u = (-35 + 7u) Solving 21 + -7u = -35 + 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. 21 + -7u + -7u = -35 + 7u + -7u Combine like terms: -7u + -7u = -14u 21 + -14u = -35 + 7u + -7u Combine like terms: 7u + -7u = 0 21 + -14u = -35 + 0 21 + -14u = -35 Add '-21' to each side of the equation. 21 + -21 + -14u = -35 + -21 Combine like terms: 21 + -21 = 0 0 + -14u = -35 + -21 -14u = -35 + -21 Combine like terms: -35 + -21 = -56 -14u = -56 Divide each side by '-14'. u = 4 Simplifying u = 4
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