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Simplifying (10 + 11v) + -3(4v + 3) = 2 Remove parenthesis around (10 + 11v) 10 + 11v + -3(4v + 3) = 2 Reorder the terms: 10 + 11v + -3(3 + 4v) = 2 10 + 11v + (3 * -3 + 4v * -3) = 2 10 + 11v + (-9 + -12v) = 2 Reorder the terms: 10 + -9 + 11v + -12v = 2 Combine like terms: 10 + -9 = 1 1 + 11v + -12v = 2 Combine like terms: 11v + -12v = -1v 1 + -1v = 2 Solving 1 + -1v = 2 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 + -1v = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 2 + -1 -1v = 2 + -1 Combine like terms: 2 + -1 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1
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