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Simplifying 2(-6v + 7) = -2 + -2(-6 + 8v) Reorder the terms: 2(7 + -6v) = -2 + -2(-6 + 8v) (7 * 2 + -6v * 2) = -2 + -2(-6 + 8v) (14 + -12v) = -2 + -2(-6 + 8v) 14 + -12v = -2 + (-6 * -2 + 8v * -2) 14 + -12v = -2 + (12 + -16v) Combine like terms: -2 + 12 = 10 14 + -12v = 10 + -16v Solving 14 + -12v = 10 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. 14 + -12v + 16v = 10 + -16v + 16v Combine like terms: -12v + 16v = 4v 14 + 4v = 10 + -16v + 16v Combine like terms: -16v + 16v = 0 14 + 4v = 10 + 0 14 + 4v = 10 Add '-14' to each side of the equation. 14 + -14 + 4v = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 4v = 10 + -14 4v = 10 + -14 Combine like terms: 10 + -14 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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