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