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Simplifying 2(8v + -2) = 8(2v + -8) + -6v Reorder the terms: 2(-2 + 8v) = 8(2v + -8) + -6v (-2 * 2 + 8v * 2) = 8(2v + -8) + -6v (-4 + 16v) = 8(2v + -8) + -6v Reorder the terms: -4 + 16v = 8(-8 + 2v) + -6v -4 + 16v = (-8 * 8 + 2v * 8) + -6v -4 + 16v = (-64 + 16v) + -6v Combine like terms: 16v + -6v = 10v -4 + 16v = -64 + 10v Solving -4 + 16v = -64 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -4 + 16v + -10v = -64 + 10v + -10v Combine like terms: 16v + -10v = 6v -4 + 6v = -64 + 10v + -10v Combine like terms: 10v + -10v = 0 -4 + 6v = -64 + 0 -4 + 6v = -64 Add '4' to each side of the equation. -4 + 4 + 6v = -64 + 4 Combine like terms: -4 + 4 = 0 0 + 6v = -64 + 4 6v = -64 + 4 Combine like terms: -64 + 4 = -60 6v = -60 Divide each side by '6'. v = -10 Simplifying v = -10
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