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Simplifying -3(3u + -2) + 7u = 8 + 3(2u + -2) Reorder the terms: -3(-2 + 3u) + 7u = 8 + 3(2u + -2) (-2 * -3 + 3u * -3) + 7u = 8 + 3(2u + -2) (6 + -9u) + 7u = 8 + 3(2u + -2) Combine like terms: -9u + 7u = -2u 6 + -2u = 8 + 3(2u + -2) Reorder the terms: 6 + -2u = 8 + 3(-2 + 2u) 6 + -2u = 8 + (-2 * 3 + 2u * 3) 6 + -2u = 8 + (-6 + 6u) Combine like terms: 8 + -6 = 2 6 + -2u = 2 + 6u Solving 6 + -2u = 2 + 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. 6 + -2u + -6u = 2 + 6u + -6u Combine like terms: -2u + -6u = -8u 6 + -8u = 2 + 6u + -6u Combine like terms: 6u + -6u = 0 6 + -8u = 2 + 0 6 + -8u = 2 Add '-6' to each side of the equation. 6 + -6 + -8u = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -8u = 2 + -6 -8u = 2 + -6 Combine like terms: 2 + -6 = -4 -8u = -4 Divide each side by '-8'. u = 0.5 Simplifying u = 0.5
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