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Simplifying (-7v + -6) + -1(2v + -4) = 0 Reorder the terms: (-6 + -7v) + -1(2v + -4) = 0 Remove parenthesis around (-6 + -7v) -6 + -7v + -1(2v + -4) = 0 Reorder the terms: -6 + -7v + -1(-4 + 2v) = 0 -6 + -7v + (-4 * -1 + 2v * -1) = 0 -6 + -7v + (4 + -2v) = 0 Reorder the terms: -6 + 4 + -7v + -2v = 0 Combine like terms: -6 + 4 = -2 -2 + -7v + -2v = 0 Combine like terms: -7v + -2v = -9v -2 + -9v = 0 Solving -2 + -9v = 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 + -9v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9v = 0 + 2 -9v = 0 + 2 Combine like terms: 0 + 2 = 2 -9v = 2 Divide each side by '-9'. v = -0.2222222222 Simplifying v = -0.2222222222
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