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Simplifying U(v + 2) + w(v + -3) = 2(v + -1) Reorder the terms: U(2 + v) + w(v + -3) = 2(v + -1) (2 * U + v * U) + w(v + -3) = 2(v + -1) (2U + vU) + w(v + -3) = 2(v + -1) Reorder the terms: 2U + vU + w(-3 + v) = 2(v + -1) 2U + vU + (-3 * w + v * w) = 2(v + -1) Reorder the terms: 2U + vU + (vw + -3w) = 2(v + -1) 2U + vU + (vw + -3w) = 2(v + -1) Reorder the terms: 2U + vU + vw + -3w = 2(-1 + v) 2U + vU + vw + -3w = (-1 * 2 + v * 2) 2U + vU + vw + -3w = (-2 + 2v) Solving 2U + vU + vw + -3w = -2 + 2v Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-1vw' to each side of the equation. 2U + vU + vw + -1vw + -3w = -2 + 2v + -1vw Combine like terms: vw + -1vw = 0 2U + vU + 0 + -3w = -2 + 2v + -1vw 2U + vU + -3w = -2 + 2v + -1vw Add '3w' to each side of the equation. 2U + vU + -3w + 3w = -2 + 2v + -1vw + 3w Combine like terms: -3w + 3w = 0 2U + vU + 0 = -2 + 2v + -1vw + 3w 2U + vU = -2 + 2v + -1vw + 3w Reorder the terms: 2 + 2U + -2v + vU + vw + -3w = -2 + 2v + -1vw + 3w + 2 + -2v + vw + -3w Reorder the terms: 2 + 2U + -2v + vU + vw + -3w = -2 + 2 + 2v + -2v + -1vw + vw + 3w + -3w Combine like terms: -2 + 2 = 0 2 + 2U + -2v + vU + vw + -3w = 0 + 2v + -2v + -1vw + vw + 3w + -3w 2 + 2U + -2v + vU + vw + -3w = 2v + -2v + -1vw + vw + 3w + -3w Combine like terms: 2v + -2v = 0 2 + 2U + -2v + vU + vw + -3w = 0 + -1vw + vw + 3w + -3w 2 + 2U + -2v + vU + vw + -3w = -1vw + vw + 3w + -3w Combine like terms: -1vw + vw = 0 2 + 2U + -2v + vU + vw + -3w = 0 + 3w + -3w 2 + 2U + -2v + vU + vw + -3w = 3w + -3w Combine like terms: 3w + -3w = 0 2 + 2U + -2v + vU + vw + -3w = 0 The solution to this equation could not be determined.
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