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Simplifying 52 = 12(u + 5) * 8 Reorder the terms: 52 = 12(5 + u) * 8 Reorder the terms for easier multiplication: 52 = 12 * 8(5 + u) Multiply 12 * 8 52 = 96(5 + u) 52 = (5 * 96 + u * 96) 52 = (480 + 96u) Solving 52 = 480 + 96u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-96u' to each side of the equation. 52 + -96u = 480 + 96u + -96u Combine like terms: 96u + -96u = 0 52 + -96u = 480 + 0 52 + -96u = 480 Add '-52' to each side of the equation. 52 + -52 + -96u = 480 + -52 Combine like terms: 52 + -52 = 0 0 + -96u = 480 + -52 -96u = 480 + -52 Combine like terms: 480 + -52 = 428 -96u = 428 Divide each side by '-96'. u = -4.458333333 Simplifying u = -4.458333333
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