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Simplifying -19 = 7(v + -2) + -2v Reorder the terms: -19 = 7(-2 + v) + -2v -19 = (-2 * 7 + v * 7) + -2v -19 = (-14 + 7v) + -2v Combine like terms: 7v + -2v = 5v -19 = -14 + 5v Solving -19 = -14 + 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. -19 + -5v = -14 + 5v + -5v Combine like terms: 5v + -5v = 0 -19 + -5v = -14 + 0 -19 + -5v = -14 Add '19' to each side of the equation. -19 + 19 + -5v = -14 + 19 Combine like terms: -19 + 19 = 0 0 + -5v = -14 + 19 -5v = -14 + 19 Combine like terms: -14 + 19 = 5 -5v = 5 Divide each side by '-5'. v = -1 Simplifying v = -1
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