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Simplifying 3(u + -3) = u + 6 + -3(-2u + -1) Reorder the terms: 3(-3 + u) = u + 6 + -3(-2u + -1) (-3 * 3 + u * 3) = u + 6 + -3(-2u + -1) (-9 + 3u) = u + 6 + -3(-2u + -1) Reorder the terms: -9 + 3u = u + 6 + -3(-1 + -2u) -9 + 3u = u + 6 + (-1 * -3 + -2u * -3) -9 + 3u = u + 6 + (3 + 6u) Reorder the terms: -9 + 3u = 6 + 3 + u + 6u Combine like terms: 6 + 3 = 9 -9 + 3u = 9 + u + 6u Combine like terms: u + 6u = 7u -9 + 3u = 9 + 7u Solving -9 + 3u = 9 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -9 + 3u + -7u = 9 + 7u + -7u Combine like terms: 3u + -7u = -4u -9 + -4u = 9 + 7u + -7u Combine like terms: 7u + -7u = 0 -9 + -4u = 9 + 0 -9 + -4u = 9 Add '9' to each side of the equation. -9 + 9 + -4u = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -4u = 9 + 9 -4u = 9 + 9 Combine like terms: 9 + 9 = 18 -4u = 18 Divide each side by '-4'. u = -4.5 Simplifying u = -4.5
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