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Simplifying 3 + 3(6u + -6) = -3(2u + -1) + 8u Reorder the terms: 3 + 3(-6 + 6u) = -3(2u + -1) + 8u 3 + (-6 * 3 + 6u * 3) = -3(2u + -1) + 8u 3 + (-18 + 18u) = -3(2u + -1) + 8u Combine like terms: 3 + -18 = -15 -15 + 18u = -3(2u + -1) + 8u Reorder the terms: -15 + 18u = -3(-1 + 2u) + 8u -15 + 18u = (-1 * -3 + 2u * -3) + 8u -15 + 18u = (3 + -6u) + 8u Combine like terms: -6u + 8u = 2u -15 + 18u = 3 + 2u Solving -15 + 18u = 3 + 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. -15 + 18u + -2u = 3 + 2u + -2u Combine like terms: 18u + -2u = 16u -15 + 16u = 3 + 2u + -2u Combine like terms: 2u + -2u = 0 -15 + 16u = 3 + 0 -15 + 16u = 3 Add '15' to each side of the equation. -15 + 15 + 16u = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 16u = 3 + 15 16u = 3 + 15 Combine like terms: 3 + 15 = 18 16u = 18 Divide each side by '16'. u = 1.125 Simplifying u = 1.125
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