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Simplifying 5(7v + -3) + 2 = -13 + 2v Reorder the terms: 5(-3 + 7v) + 2 = -13 + 2v (-3 * 5 + 7v * 5) + 2 = -13 + 2v (-15 + 35v) + 2 = -13 + 2v Reorder the terms: -15 + 2 + 35v = -13 + 2v Combine like terms: -15 + 2 = -13 -13 + 35v = -13 + 2v Add '13' to each side of the equation. -13 + 13 + 35v = -13 + 13 + 2v Combine like terms: -13 + 13 = 0 0 + 35v = -13 + 13 + 2v 35v = -13 + 13 + 2v Combine like terms: -13 + 13 = 0 35v = 0 + 2v 35v = 2v Solving 35v = 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. 35v + -2v = 2v + -2v Combine like terms: 35v + -2v = 33v 33v = 2v + -2v Combine like terms: 2v + -2v = 0 33v = 0 Divide each side by '33'. v = 0 Simplifying v = 0
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