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Simplifying -5(v + 2) + 3v + 5 = 7v + 12 Reorder the terms: -5(2 + v) + 3v + 5 = 7v + 12 (2 * -5 + v * -5) + 3v + 5 = 7v + 12 (-10 + -5v) + 3v + 5 = 7v + 12 Reorder the terms: -10 + 5 + -5v + 3v = 7v + 12 Combine like terms: -10 + 5 = -5 -5 + -5v + 3v = 7v + 12 Combine like terms: -5v + 3v = -2v -5 + -2v = 7v + 12 Reorder the terms: -5 + -2v = 12 + 7v Solving -5 + -2v = 12 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -5 + -2v + -7v = 12 + 7v + -7v Combine like terms: -2v + -7v = -9v -5 + -9v = 12 + 7v + -7v Combine like terms: 7v + -7v = 0 -5 + -9v = 12 + 0 -5 + -9v = 12 Add '5' to each side of the equation. -5 + 5 + -9v = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -9v = 12 + 5 -9v = 12 + 5 Combine like terms: 12 + 5 = 17 -9v = 17 Divide each side by '-9'. v = -1.888888889 Simplifying v = -1.888888889
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