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Simplifying -2(3 + 11v) + -11(5 + 5v) = v + -1 + -9v + 9 (3 * -2 + 11v * -2) + -11(5 + 5v) = v + -1 + -9v + 9 (-6 + -22v) + -11(5 + 5v) = v + -1 + -9v + 9 -6 + -22v + (5 * -11 + 5v * -11) = v + -1 + -9v + 9 -6 + -22v + (-55 + -55v) = v + -1 + -9v + 9 Reorder the terms: -6 + -55 + -22v + -55v = v + -1 + -9v + 9 Combine like terms: -6 + -55 = -61 -61 + -22v + -55v = v + -1 + -9v + 9 Combine like terms: -22v + -55v = -77v -61 + -77v = v + -1 + -9v + 9 Reorder the terms: -61 + -77v = -1 + 9 + v + -9v Combine like terms: -1 + 9 = 8 -61 + -77v = 8 + v + -9v Combine like terms: v + -9v = -8v -61 + -77v = 8 + -8v Solving -61 + -77v = 8 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -61 + -77v + 8v = 8 + -8v + 8v Combine like terms: -77v + 8v = -69v -61 + -69v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 -61 + -69v = 8 + 0 -61 + -69v = 8 Add '61' to each side of the equation. -61 + 61 + -69v = 8 + 61 Combine like terms: -61 + 61 = 0 0 + -69v = 8 + 61 -69v = 8 + 61 Combine like terms: 8 + 61 = 69 -69v = 69 Divide each side by '-69'. v = -1 Simplifying v = -1
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