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Simplifying 11 + -1(3v + 5) = 3v + -6 Reorder the terms: 11 + -1(5 + 3v) = 3v + -6 11 + (5 * -1 + 3v * -1) = 3v + -6 11 + (-5 + -3v) = 3v + -6 Combine like terms: 11 + -5 = 6 6 + -3v = 3v + -6 Reorder the terms: 6 + -3v = -6 + 3v Solving 6 + -3v = -6 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 6 + -3v + -3v = -6 + 3v + -3v Combine like terms: -3v + -3v = -6v 6 + -6v = -6 + 3v + -3v Combine like terms: 3v + -3v = 0 6 + -6v = -6 + 0 6 + -6v = -6 Add '-6' to each side of the equation. 6 + -6 + -6v = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -6v = -6 + -6 -6v = -6 + -6 Combine like terms: -6 + -6 = -12 -6v = -12 Divide each side by '-6'. v = 2 Simplifying v = 2
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