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Simplifying 4(u + -2) = -6u + 32 Reorder the terms: 4(-2 + u) = -6u + 32 (-2 * 4 + u * 4) = -6u + 32 (-8 + 4u) = -6u + 32 Reorder the terms: -8 + 4u = 32 + -6u Solving -8 + 4u = 32 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. -8 + 4u + 6u = 32 + -6u + 6u Combine like terms: 4u + 6u = 10u -8 + 10u = 32 + -6u + 6u Combine like terms: -6u + 6u = 0 -8 + 10u = 32 + 0 -8 + 10u = 32 Add '8' to each side of the equation. -8 + 8 + 10u = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 10u = 32 + 8 10u = 32 + 8 Combine like terms: 32 + 8 = 40 10u = 40 Divide each side by '10'. u = 4 Simplifying u = 4
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