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Simplifying 2(u + -6) = 4u + -32 Reorder the terms: 2(-6 + u) = 4u + -32 (-6 * 2 + u * 2) = 4u + -32 (-12 + 2u) = 4u + -32 Reorder the terms: -12 + 2u = -32 + 4u Solving -12 + 2u = -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. -12 + 2u + -4u = -32 + 4u + -4u Combine like terms: 2u + -4u = -2u -12 + -2u = -32 + 4u + -4u Combine like terms: 4u + -4u = 0 -12 + -2u = -32 + 0 -12 + -2u = -32 Add '12' to each side of the equation. -12 + 12 + -2u = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -2u = -32 + 12 -2u = -32 + 12 Combine like terms: -32 + 12 = -20 -2u = -20 Divide each side by '-2'. u = 10 Simplifying u = 10
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