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Simplifying 6(u + -3) = 4u + -32 Reorder the terms: 6(-3 + u) = 4u + -32 (-3 * 6 + u * 6) = 4u + -32 (-18 + 6u) = 4u + -32 Reorder the terms: -18 + 6u = -32 + 4u Solving -18 + 6u = -32 + 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. -18 + 6u + -4u = -32 + 4u + -4u Combine like terms: 6u + -4u = 2u -18 + 2u = -32 + 4u + -4u Combine like terms: 4u + -4u = 0 -18 + 2u = -32 + 0 -18 + 2u = -32 Add '18' to each side of the equation. -18 + 18 + 2u = -32 + 18 Combine like terms: -18 + 18 = 0 0 + 2u = -32 + 18 2u = -32 + 18 Combine like terms: -32 + 18 = -14 2u = -14 Divide each side by '2'. u = -7 Simplifying u = -7
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