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Simplifying 2(v + -6) + -1(-3 + 6) = 1 + -2v + -2v Reorder the terms: 2(-6 + v) + -1(-3 + 6) = 1 + -2v + -2v (-6 * 2 + v * 2) + -1(-3 + 6) = 1 + -2v + -2v (-12 + 2v) + -1(-3 + 6) = 1 + -2v + -2v Combine like terms: -3 + 6 = 3 -12 + 2v + -1(3) = 1 + -2v + -2v Multiply -1 * 3 -12 + 2v + -3 = 1 + -2v + -2v Reorder the terms: -12 + -3 + 2v = 1 + -2v + -2v Combine like terms: -12 + -3 = -15 -15 + 2v = 1 + -2v + -2v Combine like terms: -2v + -2v = -4v -15 + 2v = 1 + -4v Solving -15 + 2v = 1 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -15 + 2v + 4v = 1 + -4v + 4v Combine like terms: 2v + 4v = 6v -15 + 6v = 1 + -4v + 4v Combine like terms: -4v + 4v = 0 -15 + 6v = 1 + 0 -15 + 6v = 1 Add '15' to each side of the equation. -15 + 15 + 6v = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 6v = 1 + 15 6v = 1 + 15 Combine like terms: 1 + 15 = 16 6v = 16 Divide each side by '6'. v = 2.666666667 Simplifying v = 2.666666667
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