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Simplifying -1 = -7v + 2(v + 7) Reorder the terms: -1 = -7v + 2(7 + v) -1 = -7v + (7 * 2 + v * 2) -1 = -7v + (14 + 2v) Reorder the terms: -1 = 14 + -7v + 2v Combine like terms: -7v + 2v = -5v -1 = 14 + -5v Solving -1 = 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. -1 + 5v = 14 + -5v + 5v Combine like terms: -5v + 5v = 0 -1 + 5v = 14 + 0 -1 + 5v = 14 Add '1' to each side of the equation. -1 + 1 + 5v = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 5v = 14 + 1 5v = 14 + 1 Combine like terms: 14 + 1 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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