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Simplifying 2(v + -7) + 6(-3v + -2) = 6 Reorder the terms: 2(-7 + v) + 6(-3v + -2) = 6 (-7 * 2 + v * 2) + 6(-3v + -2) = 6 (-14 + 2v) + 6(-3v + -2) = 6 Reorder the terms: -14 + 2v + 6(-2 + -3v) = 6 -14 + 2v + (-2 * 6 + -3v * 6) = 6 -14 + 2v + (-12 + -18v) = 6 Reorder the terms: -14 + -12 + 2v + -18v = 6 Combine like terms: -14 + -12 = -26 -26 + 2v + -18v = 6 Combine like terms: 2v + -18v = -16v -26 + -16v = 6 Solving -26 + -16v = 6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -16v = 6 + 26 Combine like terms: -26 + 26 = 0 0 + -16v = 6 + 26 -16v = 6 + 26 Combine like terms: 6 + 26 = 32 -16v = 32 Divide each side by '-16'. v = -2 Simplifying v = -2
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