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Simplifying 5(v + -6) = -2v + 2 Reorder the terms: 5(-6 + v) = -2v + 2 (-6 * 5 + v * 5) = -2v + 2 (-30 + 5v) = -2v + 2 Reorder the terms: -30 + 5v = 2 + -2v Solving -30 + 5v = 2 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -30 + 5v + 2v = 2 + -2v + 2v Combine like terms: 5v + 2v = 7v -30 + 7v = 2 + -2v + 2v Combine like terms: -2v + 2v = 0 -30 + 7v = 2 + 0 -30 + 7v = 2 Add '30' to each side of the equation. -30 + 30 + 7v = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 7v = 2 + 30 7v = 2 + 30 Combine like terms: 2 + 30 = 32 7v = 32 Divide each side by '7'. v = 4.571428571 Simplifying v = 4.571428571
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