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Simplifying 2(v + -7) + 6(-3 + -2) = 6 Reorder the terms: 2(-7 + v) + 6(-3 + -2) = 6 (-7 * 2 + v * 2) + 6(-3 + -2) = 6 (-14 + 2v) + 6(-3 + -2) = 6 Combine like terms: -3 + -2 = -5 -14 + 2v + 6(-5) = 6 Multiply 6 * -5 -14 + 2v + -30 = 6 Reorder the terms: -14 + -30 + 2v = 6 Combine like terms: -14 + -30 = -44 -44 + 2v = 6 Solving -44 + 2v = 6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 2v = 6 + 44 Combine like terms: -44 + 44 = 0 0 + 2v = 6 + 44 2v = 6 + 44 Combine like terms: 6 + 44 = 50 2v = 50 Divide each side by '2'. v = 25 Simplifying v = 25
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