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Simplifying 2v + 2(7 + -1v) = 2(5v + 10) + 4 2v + (7 * 2 + -1v * 2) = 2(5v + 10) + 4 2v + (14 + -2v) = 2(5v + 10) + 4 Reorder the terms: 14 + 2v + -2v = 2(5v + 10) + 4 Combine like terms: 2v + -2v = 0 14 + 0 = 2(5v + 10) + 4 14 = 2(5v + 10) + 4 Reorder the terms: 14 = 2(10 + 5v) + 4 14 = (10 * 2 + 5v * 2) + 4 14 = (20 + 10v) + 4 Reorder the terms: 14 = 20 + 4 + 10v Combine like terms: 20 + 4 = 24 14 = 24 + 10v Solving 14 = 24 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 14 + -10v = 24 + 10v + -10v Combine like terms: 10v + -10v = 0 14 + -10v = 24 + 0 14 + -10v = 24 Add '-14' to each side of the equation. 14 + -14 + -10v = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -10v = 24 + -14 -10v = 24 + -14 Combine like terms: 24 + -14 = 10 -10v = 10 Divide each side by '-10'. v = -1 Simplifying v = -1
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