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Simplifying 2 + -2(3v + 7) = 8v + 2(-5 + -6v) Reorder the terms: 2 + -2(7 + 3v) = 8v + 2(-5 + -6v) 2 + (7 * -2 + 3v * -2) = 8v + 2(-5 + -6v) 2 + (-14 + -6v) = 8v + 2(-5 + -6v) Combine like terms: 2 + -14 = -12 -12 + -6v = 8v + 2(-5 + -6v) -12 + -6v = 8v + (-5 * 2 + -6v * 2) -12 + -6v = 8v + (-10 + -12v) Reorder the terms: -12 + -6v = -10 + 8v + -12v Combine like terms: 8v + -12v = -4v -12 + -6v = -10 + -4v Solving -12 + -6v = -10 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -12 + -6v + 4v = -10 + -4v + 4v Combine like terms: -6v + 4v = -2v -12 + -2v = -10 + -4v + 4v Combine like terms: -4v + 4v = 0 -12 + -2v = -10 + 0 -12 + -2v = -10 Add '12' to each side of the equation. -12 + 12 + -2v = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -2v = -10 + 12 -2v = -10 + 12 Combine like terms: -10 + 12 = 2 -2v = 2 Divide each side by '-2'. v = -1 Simplifying v = -1
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