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Simplifying -3(1 + 2v) + -2(v + 7) = -65 (1 * -3 + 2v * -3) + -2(v + 7) = -65 (-3 + -6v) + -2(v + 7) = -65 Reorder the terms: -3 + -6v + -2(7 + v) = -65 -3 + -6v + (7 * -2 + v * -2) = -65 -3 + -6v + (-14 + -2v) = -65 Reorder the terms: -3 + -14 + -6v + -2v = -65 Combine like terms: -3 + -14 = -17 -17 + -6v + -2v = -65 Combine like terms: -6v + -2v = -8v -17 + -8v = -65 Solving -17 + -8v = -65 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -8v = -65 + 17 Combine like terms: -17 + 17 = 0 0 + -8v = -65 + 17 -8v = -65 + 17 Combine like terms: -65 + 17 = -48 -8v = -48 Divide each side by '-8'. v = 6 Simplifying v = 6
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