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Simplifying 8u + 48 = 4(u + 9) Reorder the terms: 48 + 8u = 4(u + 9) Reorder the terms: 48 + 8u = 4(9 + u) 48 + 8u = (9 * 4 + u * 4) 48 + 8u = (36 + 4u) Solving 48 + 8u = 36 + 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 + 8u + -4u = 36 + 4u + -4u Combine like terms: 8u + -4u = 4u 48 + 4u = 36 + 4u + -4u Combine like terms: 4u + -4u = 0 48 + 4u = 36 + 0 48 + 4u = 36 Add '-48' to each side of the equation. 48 + -48 + 4u = 36 + -48 Combine like terms: 48 + -48 = 0 0 + 4u = 36 + -48 4u = 36 + -48 Combine like terms: 36 + -48 = -12 4u = -12 Divide each side by '4'. u = -3 Simplifying u = -3
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