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Simplifying -3 = 3(v + 3) + -7v Reorder the terms: -3 = 3(3 + v) + -7v -3 = (3 * 3 + v * 3) + -7v -3 = (9 + 3v) + -7v Combine like terms: 3v + -7v = -4v -3 = 9 + -4v Solving -3 = 9 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -3 + 4v = 9 + -4v + 4v Combine like terms: -4v + 4v = 0 -3 + 4v = 9 + 0 -3 + 4v = 9 Add '3' to each side of the equation. -3 + 3 + 4v = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 4v = 9 + 3 4v = 9 + 3 Combine like terms: 9 + 3 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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