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Simplifying -5(v + 2) = -7v + -12 Reorder the terms: -5(2 + v) = -7v + -12 (2 * -5 + v * -5) = -7v + -12 (-10 + -5v) = -7v + -12 Reorder the terms: -10 + -5v = -12 + -7v Solving -10 + -5v = -12 + -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. -10 + -5v + 7v = -12 + -7v + 7v Combine like terms: -5v + 7v = 2v -10 + 2v = -12 + -7v + 7v Combine like terms: -7v + 7v = 0 -10 + 2v = -12 + 0 -10 + 2v = -12 Add '10' to each side of the equation. -10 + 10 + 2v = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 2v = -12 + 10 2v = -12 + 10 Combine like terms: -12 + 10 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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