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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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