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Simplifying 3(v + 3) + -7v = -11 Reorder the terms: 3(3 + v) + -7v = -11 (3 * 3 + v * 3) + -7v = -11 (9 + 3v) + -7v = -11 Combine like terms: 3v + -7v = -4v 9 + -4v = -11 Solving 9 + -4v = -11 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4v = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -4v = -11 + -9 -4v = -11 + -9 Combine like terms: -11 + -9 = -20 -4v = -20 Divide each side by '-4'. v = 5 Simplifying v = 5
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