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Simplifying 14 = 8(v + 7) + -2v Reorder the terms: 14 = 8(7 + v) + -2v 14 = (7 * 8 + v * 8) + -2v 14 = (56 + 8v) + -2v Combine like terms: 8v + -2v = 6v 14 = 56 + 6v Solving 14 = 56 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 14 + -6v = 56 + 6v + -6v Combine like terms: 6v + -6v = 0 14 + -6v = 56 + 0 14 + -6v = 56 Add '-14' to each side of the equation. 14 + -14 + -6v = 56 + -14 Combine like terms: 14 + -14 = 0 0 + -6v = 56 + -14 -6v = 56 + -14 Combine like terms: 56 + -14 = 42 -6v = 42 Divide each side by '-6'. v = -7 Simplifying v = -7
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