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Simplifying -6v = 8v + 7(v + 6) Reorder the terms: -6v = 8v + 7(6 + v) -6v = 8v + (6 * 7 + v * 7) -6v = 8v + (42 + 7v) Reorder the terms: -6v = 42 + 8v + 7v Combine like terms: 8v + 7v = 15v -6v = 42 + 15v Solving -6v = 42 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -6v + -15v = 42 + 15v + -15v Combine like terms: -6v + -15v = -21v -21v = 42 + 15v + -15v Combine like terms: 15v + -15v = 0 -21v = 42 + 0 -21v = 42 Divide each side by '-21'. v = -2 Simplifying v = -2
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