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Simplifying -4v + -12 + 2v + 5 = 5v + 8 Reorder the terms: -12 + 5 + -4v + 2v = 5v + 8 Combine like terms: -12 + 5 = -7 -7 + -4v + 2v = 5v + 8 Combine like terms: -4v + 2v = -2v -7 + -2v = 5v + 8 Reorder the terms: -7 + -2v = 8 + 5v Solving -7 + -2v = 8 + 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. -7 + -2v + -5v = 8 + 5v + -5v Combine like terms: -2v + -5v = -7v -7 + -7v = 8 + 5v + -5v Combine like terms: 5v + -5v = 0 -7 + -7v = 8 + 0 -7 + -7v = 8 Add '7' to each side of the equation. -7 + 7 + -7v = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -7v = 8 + 7 -7v = 8 + 7 Combine like terms: 8 + 7 = 15 -7v = 15 Divide each side by '-7'. v = -2.142857143 Simplifying v = -2.142857143
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