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Simplifying 6 + 2(3u + -2) = -2(2u + -7) + 2u Reorder the terms: 6 + 2(-2 + 3u) = -2(2u + -7) + 2u 6 + (-2 * 2 + 3u * 2) = -2(2u + -7) + 2u 6 + (-4 + 6u) = -2(2u + -7) + 2u Combine like terms: 6 + -4 = 2 2 + 6u = -2(2u + -7) + 2u Reorder the terms: 2 + 6u = -2(-7 + 2u) + 2u 2 + 6u = (-7 * -2 + 2u * -2) + 2u 2 + 6u = (14 + -4u) + 2u Combine like terms: -4u + 2u = -2u 2 + 6u = 14 + -2u Solving 2 + 6u = 14 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 2 + 6u + 2u = 14 + -2u + 2u Combine like terms: 6u + 2u = 8u 2 + 8u = 14 + -2u + 2u Combine like terms: -2u + 2u = 0 2 + 8u = 14 + 0 2 + 8u = 14 Add '-2' to each side of the equation. 2 + -2 + 8u = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 8u = 14 + -2 8u = 14 + -2 Combine like terms: 14 + -2 = 12 8u = 12 Divide each side by '8'. u = 1.5 Simplifying u = 1.5
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