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Simplifying -5v + 7 = 2(v + 5) + -3 Reorder the terms: 7 + -5v = 2(v + 5) + -3 Reorder the terms: 7 + -5v = 2(5 + v) + -3 7 + -5v = (5 * 2 + v * 2) + -3 7 + -5v = (10 + 2v) + -3 Reorder the terms: 7 + -5v = 10 + -3 + 2v Combine like terms: 10 + -3 = 7 7 + -5v = 7 + 2v Add '-7' to each side of the equation. 7 + -7 + -5v = 7 + -7 + 2v Combine like terms: 7 + -7 = 0 0 + -5v = 7 + -7 + 2v -5v = 7 + -7 + 2v Combine like terms: 7 + -7 = 0 -5v = 0 + 2v -5v = 2v Solving -5v = 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. -5v + -2v = 2v + -2v Combine like terms: -5v + -2v = -7v -7v = 2v + -2v Combine like terms: 2v + -2v = 0 -7v = 0 Divide each side by '-7'. v = 0 Simplifying v = 0
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