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Simplifying -6u + 12 = 6(u + 8) Reorder the terms: 12 + -6u = 6(u + 8) Reorder the terms: 12 + -6u = 6(8 + u) 12 + -6u = (8 * 6 + u * 6) 12 + -6u = (48 + 6u) Solving 12 + -6u = 48 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 12 + -6u + -6u = 48 + 6u + -6u Combine like terms: -6u + -6u = -12u 12 + -12u = 48 + 6u + -6u Combine like terms: 6u + -6u = 0 12 + -12u = 48 + 0 12 + -12u = 48 Add '-12' to each side of the equation. 12 + -12 + -12u = 48 + -12 Combine like terms: 12 + -12 = 0 0 + -12u = 48 + -12 -12u = 48 + -12 Combine like terms: 48 + -12 = 36 -12u = 36 Divide each side by '-12'. u = -3 Simplifying u = -3
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