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Simplifying 2(5 + -3u) = -4u + -12 (5 * 2 + -3u * 2) = -4u + -12 (10 + -6u) = -4u + -12 Reorder the terms: 10 + -6u = -12 + -4u Solving 10 + -6u = -12 + -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. 10 + -6u + 4u = -12 + -4u + 4u Combine like terms: -6u + 4u = -2u 10 + -2u = -12 + -4u + 4u Combine like terms: -4u + 4u = 0 10 + -2u = -12 + 0 10 + -2u = -12 Add '-10' to each side of the equation. 10 + -10 + -2u = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -2u = -12 + -10 -2u = -12 + -10 Combine like terms: -12 + -10 = -22 -2u = -22 Divide each side by '-2'. u = 11 Simplifying u = 11
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