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Simplifying -6(u + -2) + 1 = 2(3u + -5) Reorder the terms: -6(-2 + u) + 1 = 2(3u + -5) (-2 * -6 + u * -6) + 1 = 2(3u + -5) (12 + -6u) + 1 = 2(3u + -5) Reorder the terms: 12 + 1 + -6u = 2(3u + -5) Combine like terms: 12 + 1 = 13 13 + -6u = 2(3u + -5) Reorder the terms: 13 + -6u = 2(-5 + 3u) 13 + -6u = (-5 * 2 + 3u * 2) 13 + -6u = (-10 + 6u) Solving 13 + -6u = -10 + 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. 13 + -6u + -6u = -10 + 6u + -6u Combine like terms: -6u + -6u = -12u 13 + -12u = -10 + 6u + -6u Combine like terms: 6u + -6u = 0 13 + -12u = -10 + 0 13 + -12u = -10 Add '-13' to each side of the equation. 13 + -13 + -12u = -10 + -13 Combine like terms: 13 + -13 = 0 0 + -12u = -10 + -13 -12u = -10 + -13 Combine like terms: -10 + -13 = -23 -12u = -23 Divide each side by '-12'. u = 1.916666667 Simplifying u = 1.916666667
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