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Simplifying 5 + 2(7v + -2) = -2(2v + -5) + 6v Reorder the terms: 5 + 2(-2 + 7v) = -2(2v + -5) + 6v 5 + (-2 * 2 + 7v * 2) = -2(2v + -5) + 6v 5 + (-4 + 14v) = -2(2v + -5) + 6v Combine like terms: 5 + -4 = 1 1 + 14v = -2(2v + -5) + 6v Reorder the terms: 1 + 14v = -2(-5 + 2v) + 6v 1 + 14v = (-5 * -2 + 2v * -2) + 6v 1 + 14v = (10 + -4v) + 6v Combine like terms: -4v + 6v = 2v 1 + 14v = 10 + 2v Solving 1 + 14v = 10 + 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. 1 + 14v + -2v = 10 + 2v + -2v Combine like terms: 14v + -2v = 12v 1 + 12v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 1 + 12v = 10 + 0 1 + 12v = 10 Add '-1' to each side of the equation. 1 + -1 + 12v = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 12v = 10 + -1 12v = 10 + -1 Combine like terms: 10 + -1 = 9 12v = 9 Divide each side by '12'. v = 0.75 Simplifying v = 0.75
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