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Simplifying -2v + 7(v + -6) = -17 Reorder the terms: -2v + 7(-6 + v) = -17 -2v + (-6 * 7 + v * 7) = -17 -2v + (-42 + 7v) = -17 Reorder the terms: -42 + -2v + 7v = -17 Combine like terms: -2v + 7v = 5v -42 + 5v = -17 Solving -42 + 5v = -17 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 5v = -17 + 42 Combine like terms: -42 + 42 = 0 0 + 5v = -17 + 42 5v = -17 + 42 Combine like terms: -17 + 42 = 25 5v = 25 Divide each side by '5'. v = 5 Simplifying v = 5
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