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Simplifying 5u + -19 = -8(u + -9) Reorder the terms: -19 + 5u = -8(u + -9) Reorder the terms: -19 + 5u = -8(-9 + u) -19 + 5u = (-9 * -8 + u * -8) -19 + 5u = (72 + -8u) Solving -19 + 5u = 72 + -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. -19 + 5u + 8u = 72 + -8u + 8u Combine like terms: 5u + 8u = 13u -19 + 13u = 72 + -8u + 8u Combine like terms: -8u + 8u = 0 -19 + 13u = 72 + 0 -19 + 13u = 72 Add '19' to each side of the equation. -19 + 19 + 13u = 72 + 19 Combine like terms: -19 + 19 = 0 0 + 13u = 72 + 19 13u = 72 + 19 Combine like terms: 72 + 19 = 91 13u = 91 Divide each side by '13'. u = 7 Simplifying u = 7
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