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Simplifying -2(u + 6) = 6u + -4 + 2(3u + 1) Reorder the terms: -2(6 + u) = 6u + -4 + 2(3u + 1) (6 * -2 + u * -2) = 6u + -4 + 2(3u + 1) (-12 + -2u) = 6u + -4 + 2(3u + 1) Reorder the terms: -12 + -2u = 6u + -4 + 2(1 + 3u) -12 + -2u = 6u + -4 + (1 * 2 + 3u * 2) -12 + -2u = 6u + -4 + (2 + 6u) Reorder the terms: -12 + -2u = -4 + 2 + 6u + 6u Combine like terms: -4 + 2 = -2 -12 + -2u = -2 + 6u + 6u Combine like terms: 6u + 6u = 12u -12 + -2u = -2 + 12u Solving -12 + -2u = -2 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -12 + -2u + -12u = -2 + 12u + -12u Combine like terms: -2u + -12u = -14u -12 + -14u = -2 + 12u + -12u Combine like terms: 12u + -12u = 0 -12 + -14u = -2 + 0 -12 + -14u = -2 Add '12' to each side of the equation. -12 + 12 + -14u = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -14u = -2 + 12 -14u = -2 + 12 Combine like terms: -2 + 12 = 10 -14u = 10 Divide each side by '-14'. u = -0.7142857143 Simplifying u = -0.7142857143
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