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Simplifying -4(u + 5) = 5u + -47 Reorder the terms: -4(5 + u) = 5u + -47 (5 * -4 + u * -4) = 5u + -47 (-20 + -4u) = 5u + -47 Reorder the terms: -20 + -4u = -47 + 5u Solving -20 + -4u = -47 + 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. -20 + -4u + -5u = -47 + 5u + -5u Combine like terms: -4u + -5u = -9u -20 + -9u = -47 + 5u + -5u Combine like terms: 5u + -5u = 0 -20 + -9u = -47 + 0 -20 + -9u = -47 Add '20' to each side of the equation. -20 + 20 + -9u = -47 + 20 Combine like terms: -20 + 20 = 0 0 + -9u = -47 + 20 -9u = -47 + 20 Combine like terms: -47 + 20 = -27 -9u = -27 Divide each side by '-9'. u = 3 Simplifying u = 3
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