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Simplifying -4u + 32 = -8(u + 1) Reorder the terms: 32 + -4u = -8(u + 1) Reorder the terms: 32 + -4u = -8(1 + u) 32 + -4u = (1 * -8 + u * -8) 32 + -4u = (-8 + -8u) Solving 32 + -4u = -8 + -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. 32 + -4u + 8u = -8 + -8u + 8u Combine like terms: -4u + 8u = 4u 32 + 4u = -8 + -8u + 8u Combine like terms: -8u + 8u = 0 32 + 4u = -8 + 0 32 + 4u = -8 Add '-32' to each side of the equation. 32 + -32 + 4u = -8 + -32 Combine like terms: 32 + -32 = 0 0 + 4u = -8 + -32 4u = -8 + -32 Combine like terms: -8 + -32 = -40 4u = -40 Divide each side by '4'. u = -10 Simplifying u = -10
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