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Simplifying 5(u + -5) = -7u + 47 Reorder the terms: 5(-5 + u) = -7u + 47 (-5 * 5 + u * 5) = -7u + 47 (-25 + 5u) = -7u + 47 Reorder the terms: -25 + 5u = 47 + -7u Solving -25 + 5u = 47 + -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. -25 + 5u + 7u = 47 + -7u + 7u Combine like terms: 5u + 7u = 12u -25 + 12u = 47 + -7u + 7u Combine like terms: -7u + 7u = 0 -25 + 12u = 47 + 0 -25 + 12u = 47 Add '25' to each side of the equation. -25 + 25 + 12u = 47 + 25 Combine like terms: -25 + 25 = 0 0 + 12u = 47 + 25 12u = 47 + 25 Combine like terms: 47 + 25 = 72 12u = 72 Divide each side by '12'. u = 6 Simplifying u = 6
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