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Simplifying -5(3u + -9) + 8u = 7(u + 5) Reorder the terms: -5(-9 + 3u) + 8u = 7(u + 5) (-9 * -5 + 3u * -5) + 8u = 7(u + 5) (45 + -15u) + 8u = 7(u + 5) Combine like terms: -15u + 8u = -7u 45 + -7u = 7(u + 5) Reorder the terms: 45 + -7u = 7(5 + u) 45 + -7u = (5 * 7 + u * 7) 45 + -7u = (35 + 7u) Solving 45 + -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. 45 + -7u + -7u = 35 + 7u + -7u Combine like terms: -7u + -7u = -14u 45 + -14u = 35 + 7u + -7u Combine like terms: 7u + -7u = 0 45 + -14u = 35 + 0 45 + -14u = 35 Add '-45' to each side of the equation. 45 + -45 + -14u = 35 + -45 Combine like terms: 45 + -45 = 0 0 + -14u = 35 + -45 -14u = 35 + -45 Combine like terms: 35 + -45 = -10 -14u = -10 Divide each side by '-14'. u = 0.7142857143 Simplifying u = 0.7142857143
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