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Simplifying 4u + -8 = -8(u + 4) Reorder the terms: -8 + 4u = -8(u + 4) Reorder the terms: -8 + 4u = -8(4 + u) -8 + 4u = (4 * -8 + u * -8) -8 + 4u = (-32 + -8u) Solving -8 + 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. -8 + 4u + 8u = -32 + -8u + 8u Combine like terms: 4u + 8u = 12u -8 + 12u = -32 + -8u + 8u Combine like terms: -8u + 8u = 0 -8 + 12u = -32 + 0 -8 + 12u = -32 Add '8' to each side of the equation. -8 + 8 + 12u = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 12u = -32 + 8 12u = -32 + 8 Combine like terms: -32 + 8 = -24 12u = -24 Divide each side by '12'. u = -2 Simplifying u = -2
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