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Simplifying -2(-5 + -1v) + 8(v + -8) = -2v + -6v (-5 * -2 + -1v * -2) + 8(v + -8) = -2v + -6v (10 + 2v) + 8(v + -8) = -2v + -6v Reorder the terms: 10 + 2v + 8(-8 + v) = -2v + -6v 10 + 2v + (-8 * 8 + v * 8) = -2v + -6v 10 + 2v + (-64 + 8v) = -2v + -6v Reorder the terms: 10 + -64 + 2v + 8v = -2v + -6v Combine like terms: 10 + -64 = -54 -54 + 2v + 8v = -2v + -6v Combine like terms: 2v + 8v = 10v -54 + 10v = -2v + -6v Combine like terms: -2v + -6v = -8v -54 + 10v = -8v Solving -54 + 10v = -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -54 + 10v + 8v = -8v + 8v Combine like terms: 10v + 8v = 18v -54 + 18v = -8v + 8v Combine like terms: -8v + 8v = 0 -54 + 18v = 0 Add '54' to each side of the equation. -54 + 54 + 18v = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 18v = 0 + 54 18v = 0 + 54 Combine like terms: 0 + 54 = 54 18v = 54 Divide each side by '18'. v = 3 Simplifying v = 3
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