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Simplifying 2u + -12 = -6(u + 6) Reorder the terms: -12 + 2u = -6(u + 6) Reorder the terms: -12 + 2u = -6(6 + u) -12 + 2u = (6 * -6 + u * -6) -12 + 2u = (-36 + -6u) Solving -12 + 2u = -36 + -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 + 2u + 6u = -36 + -6u + 6u Combine like terms: 2u + 6u = 8u -12 + 8u = -36 + -6u + 6u Combine like terms: -6u + 6u = 0 -12 + 8u = -36 + 0 -12 + 8u = -36 Add '12' to each side of the equation. -12 + 12 + 8u = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 8u = -36 + 12 8u = -36 + 12 Combine like terms: -36 + 12 = -24 8u = -24 Divide each side by '8'. u = -3 Simplifying u = -3
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