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Simplifying 4u + -7 = 5(3 + -1u) + -4 Reorder the terms: -7 + 4u = 5(3 + -1u) + -4 -7 + 4u = (3 * 5 + -1u * 5) + -4 -7 + 4u = (15 + -5u) + -4 Reorder the terms: -7 + 4u = 15 + -4 + -5u Combine like terms: 15 + -4 = 11 -7 + 4u = 11 + -5u Solving -7 + 4u = 11 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -7 + 4u + 5u = 11 + -5u + 5u Combine like terms: 4u + 5u = 9u -7 + 9u = 11 + -5u + 5u Combine like terms: -5u + 5u = 0 -7 + 9u = 11 + 0 -7 + 9u = 11 Add '7' to each side of the equation. -7 + 7 + 9u = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 9u = 11 + 7 9u = 11 + 7 Combine like terms: 11 + 7 = 18 9u = 18 Divide each side by '9'. u = 2 Simplifying u = 2
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