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Simplifying 2v + -3 + -11v = -6(1 + 19v) + -6(-18v + -11) Reorder the terms: -3 + 2v + -11v = -6(1 + 19v) + -6(-18v + -11) Combine like terms: 2v + -11v = -9v -3 + -9v = -6(1 + 19v) + -6(-18v + -11) -3 + -9v = (1 * -6 + 19v * -6) + -6(-18v + -11) -3 + -9v = (-6 + -114v) + -6(-18v + -11) Reorder the terms: -3 + -9v = -6 + -114v + -6(-11 + -18v) -3 + -9v = -6 + -114v + (-11 * -6 + -18v * -6) -3 + -9v = -6 + -114v + (66 + 108v) Reorder the terms: -3 + -9v = -6 + 66 + -114v + 108v Combine like terms: -6 + 66 = 60 -3 + -9v = 60 + -114v + 108v Combine like terms: -114v + 108v = -6v -3 + -9v = 60 + -6v Solving -3 + -9v = 60 + -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. -3 + -9v + 6v = 60 + -6v + 6v Combine like terms: -9v + 6v = -3v -3 + -3v = 60 + -6v + 6v Combine like terms: -6v + 6v = 0 -3 + -3v = 60 + 0 -3 + -3v = 60 Add '3' to each side of the equation. -3 + 3 + -3v = 60 + 3 Combine like terms: -3 + 3 = 0 0 + -3v = 60 + 3 -3v = 60 + 3 Combine like terms: 60 + 3 = 63 -3v = 63 Divide each side by '-3'. v = -21 Simplifying v = -21
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