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Simplifying 8(9v + -1) + -2(-4 + -4v) = -6v + -8v Reorder the terms: 8(-1 + 9v) + -2(-4 + -4v) = -6v + -8v (-1 * 8 + 9v * 8) + -2(-4 + -4v) = -6v + -8v (-8 + 72v) + -2(-4 + -4v) = -6v + -8v -8 + 72v + (-4 * -2 + -4v * -2) = -6v + -8v -8 + 72v + (8 + 8v) = -6v + -8v Reorder the terms: -8 + 8 + 72v + 8v = -6v + -8v Combine like terms: -8 + 8 = 0 0 + 72v + 8v = -6v + -8v 72v + 8v = -6v + -8v Combine like terms: 72v + 8v = 80v 80v = -6v + -8v Combine like terms: -6v + -8v = -14v 80v = -14v Solving 80v = -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 80v + 14v = -14v + 14v Combine like terms: 80v + 14v = 94v 94v = -14v + 14v Combine like terms: -14v + 14v = 0 94v = 0 Divide each side by '94'. v = 0 Simplifying v = 0
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