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Simplifying -4(-5u + 6) + -7u = 5(u + -5) + -5 Reorder the terms: -4(6 + -5u) + -7u = 5(u + -5) + -5 (6 * -4 + -5u * -4) + -7u = 5(u + -5) + -5 (-24 + 20u) + -7u = 5(u + -5) + -5 Combine like terms: 20u + -7u = 13u -24 + 13u = 5(u + -5) + -5 Reorder the terms: -24 + 13u = 5(-5 + u) + -5 -24 + 13u = (-5 * 5 + u * 5) + -5 -24 + 13u = (-25 + 5u) + -5 Reorder the terms: -24 + 13u = -25 + -5 + 5u Combine like terms: -25 + -5 = -30 -24 + 13u = -30 + 5u Solving -24 + 13u = -30 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -24 + 13u + -5u = -30 + 5u + -5u Combine like terms: 13u + -5u = 8u -24 + 8u = -30 + 5u + -5u Combine like terms: 5u + -5u = 0 -24 + 8u = -30 + 0 -24 + 8u = -30 Add '24' to each side of the equation. -24 + 24 + 8u = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 8u = -30 + 24 8u = -30 + 24 Combine like terms: -30 + 24 = -6 8u = -6 Divide each side by '8'. u = -0.75 Simplifying u = -0.75
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