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Simplifying 8u + 12 = -2(u + -1) Reorder the terms: 12 + 8u = -2(u + -1) Reorder the terms: 12 + 8u = -2(-1 + u) 12 + 8u = (-1 * -2 + u * -2) 12 + 8u = (2 + -2u) Solving 12 + 8u = 2 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 12 + 8u + 2u = 2 + -2u + 2u Combine like terms: 8u + 2u = 10u 12 + 10u = 2 + -2u + 2u Combine like terms: -2u + 2u = 0 12 + 10u = 2 + 0 12 + 10u = 2 Add '-12' to each side of the equation. 12 + -12 + 10u = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 10u = 2 + -12 10u = 2 + -12 Combine like terms: 2 + -12 = -10 10u = -10 Divide each side by '10'. u = -1 Simplifying u = -1
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