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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 = -60 12u = -60 Divide each side by '12'. u = -5 Simplifying u = -5
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