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Simplifying -4(-4u + 5) + -3u = 4(u + -4) + -7 Reorder the terms: -4(5 + -4u) + -3u = 4(u + -4) + -7 (5 * -4 + -4u * -4) + -3u = 4(u + -4) + -7 (-20 + 16u) + -3u = 4(u + -4) + -7 Combine like terms: 16u + -3u = 13u -20 + 13u = 4(u + -4) + -7 Reorder the terms: -20 + 13u = 4(-4 + u) + -7 -20 + 13u = (-4 * 4 + u * 4) + -7 -20 + 13u = (-16 + 4u) + -7 Reorder the terms: -20 + 13u = -16 + -7 + 4u Combine like terms: -16 + -7 = -23 -20 + 13u = -23 + 4u Solving -20 + 13u = -23 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -20 + 13u + -4u = -23 + 4u + -4u Combine like terms: 13u + -4u = 9u -20 + 9u = -23 + 4u + -4u Combine like terms: 4u + -4u = 0 -20 + 9u = -23 + 0 -20 + 9u = -23 Add '20' to each side of the equation. -20 + 20 + 9u = -23 + 20 Combine like terms: -20 + 20 = 0 0 + 9u = -23 + 20 9u = -23 + 20 Combine like terms: -23 + 20 = -3 9u = -3 Divide each side by '9'. u = -0.3333333333 Simplifying u = -0.3333333333
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