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Simplifying 2(6v + -1) + -1(v + -1) = 54 Reorder the terms: 2(-1 + 6v) + -1(v + -1) = 54 (-1 * 2 + 6v * 2) + -1(v + -1) = 54 (-2 + 12v) + -1(v + -1) = 54 Reorder the terms: -2 + 12v + -1(-1 + v) = 54 -2 + 12v + (-1 * -1 + v * -1) = 54 -2 + 12v + (1 + -1v) = 54 Reorder the terms: -2 + 1 + 12v + -1v = 54 Combine like terms: -2 + 1 = -1 -1 + 12v + -1v = 54 Combine like terms: 12v + -1v = 11v -1 + 11v = 54 Solving -1 + 11v = 54 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 11v = 54 + 1 Combine like terms: -1 + 1 = 0 0 + 11v = 54 + 1 11v = 54 + 1 Combine like terms: 54 + 1 = 55 11v = 55 Divide each side by '11'. v = 5 Simplifying v = 5
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