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Simplifying 2 = 10v + -4(2v + -9) Reorder the terms: 2 = 10v + -4(-9 + 2v) 2 = 10v + (-9 * -4 + 2v * -4) 2 = 10v + (36 + -8v) Reorder the terms: 2 = 36 + 10v + -8v Combine like terms: 10v + -8v = 2v 2 = 36 + 2v Solving 2 = 36 + 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. 2 + -2v = 36 + 2v + -2v Combine like terms: 2v + -2v = 0 2 + -2v = 36 + 0 2 + -2v = 36 Add '-2' to each side of the equation. 2 + -2 + -2v = 36 + -2 Combine like terms: 2 + -2 = 0 0 + -2v = 36 + -2 -2v = 36 + -2 Combine like terms: 36 + -2 = 34 -2v = 34 Divide each side by '-2'. v = -17 Simplifying v = -17
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