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Simplifying 3(u + -3) = 2(2u + -5) + -7 Reorder the terms: 3(-3 + u) = 2(2u + -5) + -7 (-3 * 3 + u * 3) = 2(2u + -5) + -7 (-9 + 3u) = 2(2u + -5) + -7 Reorder the terms: -9 + 3u = 2(-5 + 2u) + -7 -9 + 3u = (-5 * 2 + 2u * 2) + -7 -9 + 3u = (-10 + 4u) + -7 Reorder the terms: -9 + 3u = -10 + -7 + 4u Combine like terms: -10 + -7 = -17 -9 + 3u = -17 + 4u Solving -9 + 3u = -17 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -9 + 3u + -4u = -17 + 4u + -4u Combine like terms: 3u + -4u = -1u -9 + -1u = -17 + 4u + -4u Combine like terms: 4u + -4u = 0 -9 + -1u = -17 + 0 -9 + -1u = -17 Add '9' to each side of the equation. -9 + 9 + -1u = -17 + 9 Combine like terms: -9 + 9 = 0 0 + -1u = -17 + 9 -1u = -17 + 9 Combine like terms: -17 + 9 = -8 -1u = -8 Divide each side by '-1'. u = 8 Simplifying u = 8
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