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Simplifying 4(v + -8) = -2v + -26 Reorder the terms: 4(-8 + v) = -2v + -26 (-8 * 4 + v * 4) = -2v + -26 (-32 + 4v) = -2v + -26 Reorder the terms: -32 + 4v = -26 + -2v Solving -32 + 4v = -26 + -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. -32 + 4v + 2v = -26 + -2v + 2v Combine like terms: 4v + 2v = 6v -32 + 6v = -26 + -2v + 2v Combine like terms: -2v + 2v = 0 -32 + 6v = -26 + 0 -32 + 6v = -26 Add '32' to each side of the equation. -32 + 32 + 6v = -26 + 32 Combine like terms: -32 + 32 = 0 0 + 6v = -26 + 32 6v = -26 + 32 Combine like terms: -26 + 32 = 6 6v = 6 Divide each side by '6'. v = 1 Simplifying v = 1
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