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Simplifying v + 5u + -40 = u + -5v + 48 Reorder the terms: -40 + 5u + v = u + -5v + 48 Reorder the terms: -40 + 5u + v = 48 + u + -5v Solving -40 + 5u + v = 48 + u + -5v Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. -40 + 5u + -1u + v = 48 + u + -1u + -5v Combine like terms: 5u + -1u = 4u -40 + 4u + v = 48 + u + -1u + -5v Combine like terms: u + -1u = 0 -40 + 4u + v = 48 + 0 + -5v -40 + 4u + v = 48 + -5v Add '40' to each side of the equation. -40 + 4u + 40 + v = 48 + 40 + -5v Reorder the terms: -40 + 40 + 4u + v = 48 + 40 + -5v Combine like terms: -40 + 40 = 0 0 + 4u + v = 48 + 40 + -5v 4u + v = 48 + 40 + -5v Combine like terms: 48 + 40 = 88 4u + v = 88 + -5v Add '-1v' to each side of the equation. 4u + v + -1v = 88 + -5v + -1v Combine like terms: v + -1v = 0 4u + 0 = 88 + -5v + -1v 4u = 88 + -5v + -1v Combine like terms: -5v + -1v = -6v 4u = 88 + -6v Divide each side by '4'. u = 22 + -1.5v Simplifying u = 22 + -1.5v
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