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