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Simplifying -2(5 + -3v) + v = 24 + -10v (5 * -2 + -3v * -2) + v = 24 + -10v (-10 + 6v) + v = 24 + -10v Combine like terms: 6v + v = 7v -10 + 7v = 24 + -10v Solving -10 + 7v = 24 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. -10 + 7v + 10v = 24 + -10v + 10v Combine like terms: 7v + 10v = 17v -10 + 17v = 24 + -10v + 10v Combine like terms: -10v + 10v = 0 -10 + 17v = 24 + 0 -10 + 17v = 24 Add '10' to each side of the equation. -10 + 10 + 17v = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 17v = 24 + 10 17v = 24 + 10 Combine like terms: 24 + 10 = 34 17v = 34 Divide each side by '17'. v = 2 Simplifying v = 2
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