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Simplifying 4(v + -2) = 2(v + -3) Reorder the terms: 4(-2 + v) = 2(v + -3) (-2 * 4 + v * 4) = 2(v + -3) (-8 + 4v) = 2(v + -3) Reorder the terms: -8 + 4v = 2(-3 + v) -8 + 4v = (-3 * 2 + v * 2) -8 + 4v = (-6 + 2v) Solving -8 + 4v = -6 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -8 + 4v + -2v = -6 + 2v + -2v Combine like terms: 4v + -2v = 2v -8 + 2v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 -8 + 2v = -6 + 0 -8 + 2v = -6 Add '8' to each side of the equation. -8 + 8 + 2v = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 2v = -6 + 8 2v = -6 + 8 Combine like terms: -6 + 8 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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