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Simplifying 2(v + -3) = 2v + 8 + -4(-4v + -1) Reorder the terms: 2(-3 + v) = 2v + 8 + -4(-4v + -1) (-3 * 2 + v * 2) = 2v + 8 + -4(-4v + -1) (-6 + 2v) = 2v + 8 + -4(-4v + -1) Reorder the terms: -6 + 2v = 2v + 8 + -4(-1 + -4v) -6 + 2v = 2v + 8 + (-1 * -4 + -4v * -4) -6 + 2v = 2v + 8 + (4 + 16v) Reorder the terms: -6 + 2v = 8 + 4 + 2v + 16v Combine like terms: 8 + 4 = 12 -6 + 2v = 12 + 2v + 16v Combine like terms: 2v + 16v = 18v -6 + 2v = 12 + 18v Solving -6 + 2v = 12 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -6 + 2v + -18v = 12 + 18v + -18v Combine like terms: 2v + -18v = -16v -6 + -16v = 12 + 18v + -18v Combine like terms: 18v + -18v = 0 -6 + -16v = 12 + 0 -6 + -16v = 12 Add '6' to each side of the equation. -6 + 6 + -16v = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -16v = 12 + 6 -16v = 12 + 6 Combine like terms: 12 + 6 = 18 -16v = 18 Divide each side by '-16'. v = -1.125 Simplifying v = -1.125
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