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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 = -80 8u = -80 Divide each side by '8'. u = -10 Simplifying u = -10
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