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Simplifying -5(u + 5) = 8u + -12 Reorder the terms: -5(5 + u) = 8u + -12 (5 * -5 + u * -5) = 8u + -12 (-25 + -5u) = 8u + -12 Reorder the terms: -25 + -5u = -12 + 8u Solving -25 + -5u = -12 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -25 + -5u + -8u = -12 + 8u + -8u Combine like terms: -5u + -8u = -13u -25 + -13u = -12 + 8u + -8u Combine like terms: 8u + -8u = 0 -25 + -13u = -12 + 0 -25 + -13u = -12 Add '25' to each side of the equation. -25 + 25 + -13u = -12 + 25 Combine like terms: -25 + 25 = 0 0 + -13u = -12 + 25 -13u = -12 + 25 Combine like terms: -12 + 25 = 13 -13u = 13 Divide each side by '-13'. u = -1 Simplifying u = -1
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