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Simplifying 4u + -48 = -4[u + 8] Reorder the terms: -48 + 4u = -4[u + 8] Reorder the terms: -48 + 4u = -4[8 + u] -48 + 4u = [8 * -4 + u * -4] -48 + 4u = [-32 + -4u] Solving -48 + 4u = -32 + -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. -48 + 4u + 4u = -32 + -4u + 4u Combine like terms: 4u + 4u = 8u -48 + 8u = -32 + -4u + 4u Combine like terms: -4u + 4u = 0 -48 + 8u = -32 + 0 -48 + 8u = -32 Add '48' to each side of the equation. -48 + 48 + 8u = -32 + 48 Combine like terms: -48 + 48 = 0 0 + 8u = -32 + 48 8u = -32 + 48 Combine like terms: -32 + 48 = 16 8u = 16 Divide each side by '8'. u = 2 Simplifying u = 2
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