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Simplifying 4u + -7 = 4(3 + -1u) + -3 Reorder the terms: -7 + 4u = 4(3 + -1u) + -3 -7 + 4u = (3 * 4 + -1u * 4) + -3 -7 + 4u = (12 + -4u) + -3 Reorder the terms: -7 + 4u = 12 + -3 + -4u Combine like terms: 12 + -3 = 9 -7 + 4u = 9 + -4u Solving -7 + 4u = 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. -7 + 4u + 4u = 9 + -4u + 4u Combine like terms: 4u + 4u = 8u -7 + 8u = 9 + -4u + 4u Combine like terms: -4u + 4u = 0 -7 + 8u = 9 + 0 -7 + 8u = 9 Add '7' to each side of the equation. -7 + 7 + 8u = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 8u = 9 + 7 8u = 9 + 7 Combine like terms: 9 + 7 = 16 8u = 16 Divide each side by '8'. u = 2 Simplifying u = 2
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