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Simplifying 2(6v + 2) = -1(-8 + -7v) + 8v Reorder the terms: 2(2 + 6v) = -1(-8 + -7v) + 8v (2 * 2 + 6v * 2) = -1(-8 + -7v) + 8v (4 + 12v) = -1(-8 + -7v) + 8v 4 + 12v = (-8 * -1 + -7v * -1) + 8v 4 + 12v = (8 + 7v) + 8v Combine like terms: 7v + 8v = 15v 4 + 12v = 8 + 15v Solving 4 + 12v = 8 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 4 + 12v + -15v = 8 + 15v + -15v Combine like terms: 12v + -15v = -3v 4 + -3v = 8 + 15v + -15v Combine like terms: 15v + -15v = 0 4 + -3v = 8 + 0 4 + -3v = 8 Add '-4' to each side of the equation. 4 + -4 + -3v = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 8 + -4 -3v = 8 + -4 Combine like terms: 8 + -4 = 4 -3v = 4 Divide each side by '-3'. v = -1.333333333 Simplifying v = -1.333333333
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