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Simplifying 6 = 5(v + -2) + -7v Reorder the terms: 6 = 5(-2 + v) + -7v 6 = (-2 * 5 + v * 5) + -7v 6 = (-10 + 5v) + -7v Combine like terms: 5v + -7v = -2v 6 = -10 + -2v Solving 6 = -10 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 6 + 2v = -10 + -2v + 2v Combine like terms: -2v + 2v = 0 6 + 2v = -10 + 0 6 + 2v = -10 Add '-6' to each side of the equation. 6 + -6 + 2v = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 2v = -10 + -6 2v = -10 + -6 Combine like terms: -10 + -6 = -16 2v = -16 Divide each side by '2'. v = -8 Simplifying v = -8
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