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Simplifying -5v + -20 + 3v + 5 = 5v + 7 Reorder the terms: -20 + 5 + -5v + 3v = 5v + 7 Combine like terms: -20 + 5 = -15 -15 + -5v + 3v = 5v + 7 Combine like terms: -5v + 3v = -2v -15 + -2v = 5v + 7 Reorder the terms: -15 + -2v = 7 + 5v Solving -15 + -2v = 7 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -15 + -2v + -5v = 7 + 5v + -5v Combine like terms: -2v + -5v = -7v -15 + -7v = 7 + 5v + -5v Combine like terms: 5v + -5v = 0 -15 + -7v = 7 + 0 -15 + -7v = 7 Add '15' to each side of the equation. -15 + 15 + -7v = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -7v = 7 + 15 -7v = 7 + 15 Combine like terms: 7 + 15 = 22 -7v = 22 Divide each side by '-7'. v = -3.142857143 Simplifying v = -3.142857143
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