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Simplifying 2u + -3 = 2(4 + -1u) + -3 Reorder the terms: -3 + 2u = 2(4 + -1u) + -3 -3 + 2u = (4 * 2 + -1u * 2) + -3 -3 + 2u = (8 + -2u) + -3 Reorder the terms: -3 + 2u = 8 + -3 + -2u Combine like terms: 8 + -3 = 5 -3 + 2u = 5 + -2u Solving -3 + 2u = 5 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. -3 + 2u + 2u = 5 + -2u + 2u Combine like terms: 2u + 2u = 4u -3 + 4u = 5 + -2u + 2u Combine like terms: -2u + 2u = 0 -3 + 4u = 5 + 0 -3 + 4u = 5 Add '3' to each side of the equation. -3 + 3 + 4u = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4u = 5 + 3 4u = 5 + 3 Combine like terms: 5 + 3 = 8 4u = 8 Divide each side by '4'. u = 2 Simplifying u = 2
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