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Simplifying -4(v + 3) + -3v = 2(v + 3) Reorder the terms: -4(3 + v) + -3v = 2(v + 3) (3 * -4 + v * -4) + -3v = 2(v + 3) (-12 + -4v) + -3v = 2(v + 3) Combine like terms: -4v + -3v = -7v -12 + -7v = 2(v + 3) Reorder the terms: -12 + -7v = 2(3 + v) -12 + -7v = (3 * 2 + v * 2) -12 + -7v = (6 + 2v) Solving -12 + -7v = 6 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -12 + -7v + -2v = 6 + 2v + -2v Combine like terms: -7v + -2v = -9v -12 + -9v = 6 + 2v + -2v Combine like terms: 2v + -2v = 0 -12 + -9v = 6 + 0 -12 + -9v = 6 Add '12' to each side of the equation. -12 + 12 + -9v = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -9v = 6 + 12 -9v = 6 + 12 Combine like terms: 6 + 12 = 18 -9v = 18 Divide each side by '-9'. v = -2 Simplifying v = -2
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