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Simplifying 5(3v + -2) = 12 + -7v Reorder the terms: 5(-2 + 3v) = 12 + -7v (-2 * 5 + 3v * 5) = 12 + -7v (-10 + 15v) = 12 + -7v Solving -10 + 15v = 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 + 15v + 7v = 12 + -7v + 7v Combine like terms: 15v + 7v = 22v -10 + 22v = 12 + -7v + 7v Combine like terms: -7v + 7v = 0 -10 + 22v = 12 + 0 -10 + 22v = 12 Add '10' to each side of the equation. -10 + 10 + 22v = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 22v = 12 + 10 22v = 12 + 10 Combine like terms: 12 + 10 = 22 22v = 22 Divide each side by '22'. v = 1 Simplifying v = 1
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