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Simplifying 4u + -5 = 4(3 + -1u) + -1 Reorder the terms: -5 + 4u = 4(3 + -1u) + -1 -5 + 4u = (3 * 4 + -1u * 4) + -1 -5 + 4u = (12 + -4u) + -1 Reorder the terms: -5 + 4u = 12 + -1 + -4u Combine like terms: 12 + -1 = 11 -5 + 4u = 11 + -4u Solving -5 + 4u = 11 + -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. -5 + 4u + 4u = 11 + -4u + 4u Combine like terms: 4u + 4u = 8u -5 + 8u = 11 + -4u + 4u Combine like terms: -4u + 4u = 0 -5 + 8u = 11 + 0 -5 + 8u = 11 Add '5' to each side of the equation. -5 + 5 + 8u = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 8u = 11 + 5 8u = 11 + 5 Combine like terms: 11 + 5 = 16 8u = 16 Divide each side by '8'. u = 2 Simplifying u = 2
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