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Simplifying -3(v + 1) = v + -1 + 2(5v + 5) Reorder the terms: -3(1 + v) = v + -1 + 2(5v + 5) (1 * -3 + v * -3) = v + -1 + 2(5v + 5) (-3 + -3v) = v + -1 + 2(5v + 5) Reorder the terms: -3 + -3v = v + -1 + 2(5 + 5v) -3 + -3v = v + -1 + (5 * 2 + 5v * 2) -3 + -3v = v + -1 + (10 + 10v) Reorder the terms: -3 + -3v = -1 + 10 + v + 10v Combine like terms: -1 + 10 = 9 -3 + -3v = 9 + v + 10v Combine like terms: v + 10v = 11v -3 + -3v = 9 + 11v Solving -3 + -3v = 9 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -3 + -3v + -11v = 9 + 11v + -11v Combine like terms: -3v + -11v = -14v -3 + -14v = 9 + 11v + -11v Combine like terms: 11v + -11v = 0 -3 + -14v = 9 + 0 -3 + -14v = 9 Add '3' to each side of the equation. -3 + 3 + -14v = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -14v = 9 + 3 -14v = 9 + 3 Combine like terms: 9 + 3 = 12 -14v = 12 Divide each side by '-14'. v = -0.8571428571 Simplifying v = -0.8571428571
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