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Simplifying -7v + 11 = -3(v + 3) Reorder the terms: 11 + -7v = -3(v + 3) Reorder the terms: 11 + -7v = -3(3 + v) 11 + -7v = (3 * -3 + v * -3) 11 + -7v = (-9 + -3v) Solving 11 + -7v = -9 + -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. 11 + -7v + 3v = -9 + -3v + 3v Combine like terms: -7v + 3v = -4v 11 + -4v = -9 + -3v + 3v Combine like terms: -3v + 3v = 0 11 + -4v = -9 + 0 11 + -4v = -9 Add '-11' to each side of the equation. 11 + -11 + -4v = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -4v = -9 + -11 -4v = -9 + -11 Combine like terms: -9 + -11 = -20 -4v = -20 Divide each side by '-4'. v = 5 Simplifying v = 5
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