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Simplifying 3(u + -2) + -2 = -5(-3u + 2) + -6u Reorder the terms: 3(-2 + u) + -2 = -5(-3u + 2) + -6u (-2 * 3 + u * 3) + -2 = -5(-3u + 2) + -6u (-6 + 3u) + -2 = -5(-3u + 2) + -6u Reorder the terms: -6 + -2 + 3u = -5(-3u + 2) + -6u Combine like terms: -6 + -2 = -8 -8 + 3u = -5(-3u + 2) + -6u Reorder the terms: -8 + 3u = -5(2 + -3u) + -6u -8 + 3u = (2 * -5 + -3u * -5) + -6u -8 + 3u = (-10 + 15u) + -6u Combine like terms: 15u + -6u = 9u -8 + 3u = -10 + 9u Solving -8 + 3u = -10 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -8 + 3u + -9u = -10 + 9u + -9u Combine like terms: 3u + -9u = -6u -8 + -6u = -10 + 9u + -9u Combine like terms: 9u + -9u = 0 -8 + -6u = -10 + 0 -8 + -6u = -10 Add '8' to each side of the equation. -8 + 8 + -6u = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -6u = -10 + 8 -6u = -10 + 8 Combine like terms: -10 + 8 = -2 -6u = -2 Divide each side by '-6'. u = 0.3333333333 Simplifying u = 0.3333333333
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