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Simplifying 2(v + -2) = 6v + 7 + -3(-4v + -1) Reorder the terms: 2(-2 + v) = 6v + 7 + -3(-4v + -1) (-2 * 2 + v * 2) = 6v + 7 + -3(-4v + -1) (-4 + 2v) = 6v + 7 + -3(-4v + -1) Reorder the terms: -4 + 2v = 6v + 7 + -3(-1 + -4v) -4 + 2v = 6v + 7 + (-1 * -3 + -4v * -3) -4 + 2v = 6v + 7 + (3 + 12v) Reorder the terms: -4 + 2v = 7 + 3 + 6v + 12v Combine like terms: 7 + 3 = 10 -4 + 2v = 10 + 6v + 12v Combine like terms: 6v + 12v = 18v -4 + 2v = 10 + 18v Solving -4 + 2v = 10 + 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. -4 + 2v + -18v = 10 + 18v + -18v Combine like terms: 2v + -18v = -16v -4 + -16v = 10 + 18v + -18v Combine like terms: 18v + -18v = 0 -4 + -16v = 10 + 0 -4 + -16v = 10 Add '4' to each side of the equation. -4 + 4 + -16v = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -16v = 10 + 4 -16v = 10 + 4 Combine like terms: 10 + 4 = 14 -16v = 14 Divide each side by '-16'. v = -0.875 Simplifying v = -0.875
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