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Simplifying -4(v + 1) + 6u = 2(v + 2) + -8 Reorder the terms: -4(1 + v) + 6u = 2(v + 2) + -8 (1 * -4 + v * -4) + 6u = 2(v + 2) + -8 (-4 + -4v) + 6u = 2(v + 2) + -8 Reorder the terms: -4 + 6u + -4v = 2(v + 2) + -8 Reorder the terms: -4 + 6u + -4v = 2(2 + v) + -8 -4 + 6u + -4v = (2 * 2 + v * 2) + -8 -4 + 6u + -4v = (4 + 2v) + -8 Reorder the terms: -4 + 6u + -4v = 4 + -8 + 2v Combine like terms: 4 + -8 = -4 -4 + 6u + -4v = -4 + 2v Add '4' to each side of the equation. -4 + 6u + 4 + -4v = -4 + 4 + 2v Reorder the terms: -4 + 4 + 6u + -4v = -4 + 4 + 2v Combine like terms: -4 + 4 = 0 0 + 6u + -4v = -4 + 4 + 2v 6u + -4v = -4 + 4 + 2v Combine like terms: -4 + 4 = 0 6u + -4v = 0 + 2v 6u + -4v = 2v Solving 6u + -4v = 2v Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4v' to each side of the equation. 6u + -4v + 4v = 2v + 4v Combine like terms: -4v + 4v = 0 6u + 0 = 2v + 4v 6u = 2v + 4v Combine like terms: 2v + 4v = 6v 6u = 6v Divide each side by '6'. u = v Simplifying u = v
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