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Simplifying -2(-8u + 9) + -7u = 3(u + -3) + -6 Reorder the terms: -2(9 + -8u) + -7u = 3(u + -3) + -6 (9 * -2 + -8u * -2) + -7u = 3(u + -3) + -6 (-18 + 16u) + -7u = 3(u + -3) + -6 Combine like terms: 16u + -7u = 9u -18 + 9u = 3(u + -3) + -6 Reorder the terms: -18 + 9u = 3(-3 + u) + -6 -18 + 9u = (-3 * 3 + u * 3) + -6 -18 + 9u = (-9 + 3u) + -6 Reorder the terms: -18 + 9u = -9 + -6 + 3u Combine like terms: -9 + -6 = -15 -18 + 9u = -15 + 3u Solving -18 + 9u = -15 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -18 + 9u + -3u = -15 + 3u + -3u Combine like terms: 9u + -3u = 6u -18 + 6u = -15 + 3u + -3u Combine like terms: 3u + -3u = 0 -18 + 6u = -15 + 0 -18 + 6u = -15 Add '18' to each side of the equation. -18 + 18 + 6u = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 6u = -15 + 18 6u = -15 + 18 Combine like terms: -15 + 18 = 3 6u = 3 Divide each side by '6'. u = 0.5 Simplifying u = 0.5
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