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Simplifying 4(-5u + 1) + -2(4u + -12) = 0 Reorder the terms: 4(1 + -5u) + -2(4u + -12) = 0 (1 * 4 + -5u * 4) + -2(4u + -12) = 0 (4 + -20u) + -2(4u + -12) = 0 Reorder the terms: 4 + -20u + -2(-12 + 4u) = 0 4 + -20u + (-12 * -2 + 4u * -2) = 0 4 + -20u + (24 + -8u) = 0 Reorder the terms: 4 + 24 + -20u + -8u = 0 Combine like terms: 4 + 24 = 28 28 + -20u + -8u = 0 Combine like terms: -20u + -8u = -28u 28 + -28u = 0 Solving 28 + -28u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -28u = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -28u = 0 + -28 -28u = 0 + -28 Combine like terms: 0 + -28 = -28 -28u = -28 Divide each side by '-28'. u = 1 Simplifying u = 1
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