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Simplifying -4(u + -7) = 8u + -32 Reorder the terms: -4(-7 + u) = 8u + -32 (-7 * -4 + u * -4) = 8u + -32 (28 + -4u) = 8u + -32 Reorder the terms: 28 + -4u = -32 + 8u Solving 28 + -4u = -32 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 28 + -4u + -8u = -32 + 8u + -8u Combine like terms: -4u + -8u = -12u 28 + -12u = -32 + 8u + -8u Combine like terms: 8u + -8u = 0 28 + -12u = -32 + 0 28 + -12u = -32 Add '-28' to each side of the equation. 28 + -28 + -12u = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -12u = -32 + -28 -12u = -32 + -28 Combine like terms: -32 + -28 = -60 -12u = -60 Divide each side by '-12'. u = 5 Simplifying u = 5
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