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Simplifying 7 + -1(9v + 9) = 6v + -6 Reorder the terms: 7 + -1(9 + 9v) = 6v + -6 7 + (9 * -1 + 9v * -1) = 6v + -6 7 + (-9 + -9v) = 6v + -6 Combine like terms: 7 + -9 = -2 -2 + -9v = 6v + -6 Reorder the terms: -2 + -9v = -6 + 6v Solving -2 + -9v = -6 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -2 + -9v + -6v = -6 + 6v + -6v Combine like terms: -9v + -6v = -15v -2 + -15v = -6 + 6v + -6v Combine like terms: 6v + -6v = 0 -2 + -15v = -6 + 0 -2 + -15v = -6 Add '2' to each side of the equation. -2 + 2 + -15v = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -15v = -6 + 2 -15v = -6 + 2 Combine like terms: -6 + 2 = -4 -15v = -4 Divide each side by '-15'. v = 0.2666666667 Simplifying v = 0.2666666667
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