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Simplifying -3(-6u + 1) + -5u = 5(u + -1) + -4 Reorder the terms: -3(1 + -6u) + -5u = 5(u + -1) + -4 (1 * -3 + -6u * -3) + -5u = 5(u + -1) + -4 (-3 + 18u) + -5u = 5(u + -1) + -4 Combine like terms: 18u + -5u = 13u -3 + 13u = 5(u + -1) + -4 Reorder the terms: -3 + 13u = 5(-1 + u) + -4 -3 + 13u = (-1 * 5 + u * 5) + -4 -3 + 13u = (-5 + 5u) + -4 Reorder the terms: -3 + 13u = -5 + -4 + 5u Combine like terms: -5 + -4 = -9 -3 + 13u = -9 + 5u Solving -3 + 13u = -9 + 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. -3 + 13u + -5u = -9 + 5u + -5u Combine like terms: 13u + -5u = 8u -3 + 8u = -9 + 5u + -5u Combine like terms: 5u + -5u = 0 -3 + 8u = -9 + 0 -3 + 8u = -9 Add '3' to each side of the equation. -3 + 3 + 8u = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 8u = -9 + 3 8u = -9 + 3 Combine like terms: -9 + 3 = -6 8u = -6 Divide each side by '8'. u = -0.75 Simplifying u = -0.75
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