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Simplifying (-2v + 5) + -1(-9v + 3) = 0 Reorder the terms: (5 + -2v) + -1(-9v + 3) = 0 Remove parenthesis around (5 + -2v) 5 + -2v + -1(-9v + 3) = 0 Reorder the terms: 5 + -2v + -1(3 + -9v) = 0 5 + -2v + (3 * -1 + -9v * -1) = 0 5 + -2v + (-3 + 9v) = 0 Reorder the terms: 5 + -3 + -2v + 9v = 0 Combine like terms: 5 + -3 = 2 2 + -2v + 9v = 0 Combine like terms: -2v + 9v = 7v 2 + 7v = 0 Solving 2 + 7v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7v = 0 + -2 7v = 0 + -2 Combine like terms: 0 + -2 = -2 7v = -2 Divide each side by '7'. v = -0.2857142857 Simplifying v = -0.2857142857
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