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Simplifying 4(v + -2) = 2(v + -3) + -1(2 + -2v) Reorder the terms: 4(-2 + v) = 2(v + -3) + -1(2 + -2v) (-2 * 4 + v * 4) = 2(v + -3) + -1(2 + -2v) (-8 + 4v) = 2(v + -3) + -1(2 + -2v) Reorder the terms: -8 + 4v = 2(-3 + v) + -1(2 + -2v) -8 + 4v = (-3 * 2 + v * 2) + -1(2 + -2v) -8 + 4v = (-6 + 2v) + -1(2 + -2v) -8 + 4v = -6 + 2v + (2 * -1 + -2v * -1) -8 + 4v = -6 + 2v + (-2 + 2v) Reorder the terms: -8 + 4v = -6 + -2 + 2v + 2v Combine like terms: -6 + -2 = -8 -8 + 4v = -8 + 2v + 2v Combine like terms: 2v + 2v = 4v -8 + 4v = -8 + 4v Add '8' to each side of the equation. -8 + 8 + 4v = -8 + 8 + 4v Combine like terms: -8 + 8 = 0 0 + 4v = -8 + 8 + 4v 4v = -8 + 8 + 4v Combine like terms: -8 + 8 = 0 4v = 0 + 4v 4v = 4v Add '-4v' to each side of the equation. 4v + -4v = 4v + -4v Combine like terms: 4v + -4v = 0 0 = 4v + -4v Combine like terms: 4v + -4v = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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