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Simplifying -19 = 2(v + -2) + -7v Reorder the terms: -19 = 2(-2 + v) + -7v -19 = (-2 * 2 + v * 2) + -7v -19 = (-4 + 2v) + -7v Combine like terms: 2v + -7v = -5v -19 = -4 + -5v Solving -19 = -4 + -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 = -4 + -5v + 5v Combine like terms: -5v + 5v = 0 -19 + 5v = -4 + 0 -19 + 5v = -4 Add '19' to each side of the equation. -19 + 19 + 5v = -4 + 19 Combine like terms: -19 + 19 = 0 0 + 5v = -4 + 19 5v = -4 + 19 Combine like terms: -4 + 19 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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