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Simplifying 8(5u + -3) + -4(7u + 4) = 32 Reorder the terms: 8(-3 + 5u) + -4(7u + 4) = 32 (-3 * 8 + 5u * 8) + -4(7u + 4) = 32 (-24 + 40u) + -4(7u + 4) = 32 Reorder the terms: -24 + 40u + -4(4 + 7u) = 32 -24 + 40u + (4 * -4 + 7u * -4) = 32 -24 + 40u + (-16 + -28u) = 32 Reorder the terms: -24 + -16 + 40u + -28u = 32 Combine like terms: -24 + -16 = -40 -40 + 40u + -28u = 32 Combine like terms: 40u + -28u = 12u -40 + 12u = 32 Solving -40 + 12u = 32 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 12u = 32 + 40 Combine like terms: -40 + 40 = 0 0 + 12u = 32 + 40 12u = 32 + 40 Combine like terms: 32 + 40 = 72 12u = 72 Divide each side by '12'. u = 6 Simplifying u = 6
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