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Simplifying -7(v + -2) = -5v + -6 Reorder the terms: -7(-2 + v) = -5v + -6 (-2 * -7 + v * -7) = -5v + -6 (14 + -7v) = -5v + -6 Reorder the terms: 14 + -7v = -6 + -5v Solving 14 + -7v = -6 + -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. 14 + -7v + 5v = -6 + -5v + 5v Combine like terms: -7v + 5v = -2v 14 + -2v = -6 + -5v + 5v Combine like terms: -5v + 5v = 0 14 + -2v = -6 + 0 14 + -2v = -6 Add '-14' to each side of the equation. 14 + -14 + -2v = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -2v = -6 + -14 -2v = -6 + -14 Combine like terms: -6 + -14 = -20 -2v = -20 Divide each side by '-2'. v = 10 Simplifying v = 10
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