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Simplifying -19 = 5(v + 6) + 2v Reorder the terms: -19 = 5(6 + v) + 2v -19 = (6 * 5 + v * 5) + 2v -19 = (30 + 5v) + 2v Combine like terms: 5v + 2v = 7v -19 = 30 + 7v Solving -19 = 30 + 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. -19 + -7v = 30 + 7v + -7v Combine like terms: 7v + -7v = 0 -19 + -7v = 30 + 0 -19 + -7v = 30 Add '19' to each side of the equation. -19 + 19 + -7v = 30 + 19 Combine like terms: -19 + 19 = 0 0 + -7v = 30 + 19 -7v = 30 + 19 Combine like terms: 30 + 19 = 49 -7v = 49 Divide each side by '-7'. v = -7 Simplifying v = -7
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