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Simplifying 3(u + -5) + -8 = -3(-9u + 3) + -6u Reorder the terms: 3(-5 + u) + -8 = -3(-9u + 3) + -6u (-5 * 3 + u * 3) + -8 = -3(-9u + 3) + -6u (-15 + 3u) + -8 = -3(-9u + 3) + -6u Reorder the terms: -15 + -8 + 3u = -3(-9u + 3) + -6u Combine like terms: -15 + -8 = -23 -23 + 3u = -3(-9u + 3) + -6u Reorder the terms: -23 + 3u = -3(3 + -9u) + -6u -23 + 3u = (3 * -3 + -9u * -3) + -6u -23 + 3u = (-9 + 27u) + -6u Combine like terms: 27u + -6u = 21u -23 + 3u = -9 + 21u Solving -23 + 3u = -9 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -23 + 3u + -21u = -9 + 21u + -21u Combine like terms: 3u + -21u = -18u -23 + -18u = -9 + 21u + -21u Combine like terms: 21u + -21u = 0 -23 + -18u = -9 + 0 -23 + -18u = -9 Add '23' to each side of the equation. -23 + 23 + -18u = -9 + 23 Combine like terms: -23 + 23 = 0 0 + -18u = -9 + 23 -18u = -9 + 23 Combine like terms: -9 + 23 = 14 -18u = 14 Divide each side by '-18'. u = -0.7777777778 Simplifying u = -0.7777777778
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