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Simplifying 2(6v + -5) + -4(2v + -7) = 26 Reorder the terms: 2(-5 + 6v) + -4(2v + -7) = 26 (-5 * 2 + 6v * 2) + -4(2v + -7) = 26 (-10 + 12v) + -4(2v + -7) = 26 Reorder the terms: -10 + 12v + -4(-7 + 2v) = 26 -10 + 12v + (-7 * -4 + 2v * -4) = 26 -10 + 12v + (28 + -8v) = 26 Reorder the terms: -10 + 28 + 12v + -8v = 26 Combine like terms: -10 + 28 = 18 18 + 12v + -8v = 26 Combine like terms: 12v + -8v = 4v 18 + 4v = 26 Solving 18 + 4v = 26 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4v = 26 + -18 Combine like terms: 18 + -18 = 0 0 + 4v = 26 + -18 4v = 26 + -18 Combine like terms: 26 + -18 = 8 4v = 8 Divide each side by '4'. v = 2 Simplifying v = 2
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