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Simplifying 6u + 12 = -4(u + 2) Reorder the terms: 12 + 6u = -4(u + 2) Reorder the terms: 12 + 6u = -4(2 + u) 12 + 6u = (2 * -4 + u * -4) 12 + 6u = (-8 + -4u) Solving 12 + 6u = -8 + -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. 12 + 6u + 4u = -8 + -4u + 4u Combine like terms: 6u + 4u = 10u 12 + 10u = -8 + -4u + 4u Combine like terms: -4u + 4u = 0 12 + 10u = -8 + 0 12 + 10u = -8 Add '-12' to each side of the equation. 12 + -12 + 10u = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 10u = -8 + -12 10u = -8 + -12 Combine like terms: -8 + -12 = -20 10u = -20 Divide each side by '10'. u = -2 Simplifying u = -2
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