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Simplifying 10 = -4v + 2(v + 7) Reorder the terms: 10 = -4v + 2(7 + v) 10 = -4v + (7 * 2 + v * 2) 10 = -4v + (14 + 2v) Reorder the terms: 10 = 14 + -4v + 2v Combine like terms: -4v + 2v = -2v 10 = 14 + -2v Solving 10 = 14 + -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. 10 + 2v = 14 + -2v + 2v Combine like terms: -2v + 2v = 0 10 + 2v = 14 + 0 10 + 2v = 14 Add '-10' to each side of the equation. 10 + -10 + 2v = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 2v = 14 + -10 2v = 14 + -10 Combine like terms: 14 + -10 = 4 2v = 4 Divide each side by '2'. v = 2 Simplifying v = 2
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