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Simplifying -19 = 4(v + -2) + 7v Reorder the terms: -19 = 4(-2 + v) + 7v -19 = (-2 * 4 + v * 4) + 7v -19 = (-8 + 4v) + 7v Combine like terms: 4v + 7v = 11v -19 = -8 + 11v Solving -19 = -8 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -19 + -11v = -8 + 11v + -11v Combine like terms: 11v + -11v = 0 -19 + -11v = -8 + 0 -19 + -11v = -8 Add '19' to each side of the equation. -19 + 19 + -11v = -8 + 19 Combine like terms: -19 + 19 = 0 0 + -11v = -8 + 19 -11v = -8 + 19 Combine like terms: -8 + 19 = 11 -11v = 11 Divide each side by '-11'. v = -1 Simplifying v = -1
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