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Simplifying 5(2 + -4v) + 2(6v + 1) = 12 (2 * 5 + -4v * 5) + 2(6v + 1) = 12 (10 + -20v) + 2(6v + 1) = 12 Reorder the terms: 10 + -20v + 2(1 + 6v) = 12 10 + -20v + (1 * 2 + 6v * 2) = 12 10 + -20v + (2 + 12v) = 12 Reorder the terms: 10 + 2 + -20v + 12v = 12 Combine like terms: 10 + 2 = 12 12 + -20v + 12v = 12 Combine like terms: -20v + 12v = -8v 12 + -8v = 12 Add '-12' to each side of the equation. 12 + -12 + -8v = 12 + -12 Combine like terms: 12 + -12 = 0 0 + -8v = 12 + -12 -8v = 12 + -12 Combine like terms: 12 + -12 = 0 -8v = 0 Solving -8v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '-8'. v = 0 Simplifying v = 0
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