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Simplifying 2u + -3 = 4(3 + -1u) + -3 Reorder the terms: -3 + 2u = 4(3 + -1u) + -3 -3 + 2u = (3 * 4 + -1u * 4) + -3 -3 + 2u = (12 + -4u) + -3 Reorder the terms: -3 + 2u = 12 + -3 + -4u Combine like terms: 12 + -3 = 9 -3 + 2u = 9 + -4u Solving -3 + 2u = 9 + -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. -3 + 2u + 4u = 9 + -4u + 4u Combine like terms: 2u + 4u = 6u -3 + 6u = 9 + -4u + 4u Combine like terms: -4u + 4u = 0 -3 + 6u = 9 + 0 -3 + 6u = 9 Add '3' to each side of the equation. -3 + 3 + 6u = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 6u = 9 + 3 6u = 9 + 3 Combine like terms: 9 + 3 = 12 6u = 12 Divide each side by '6'. u = 2 Simplifying u = 2
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