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Simplifying -3(v + -7) = 2v + -9 Reorder the terms: -3(-7 + v) = 2v + -9 (-7 * -3 + v * -3) = 2v + -9 (21 + -3v) = 2v + -9 Reorder the terms: 21 + -3v = -9 + 2v Solving 21 + -3v = -9 + 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. 21 + -3v + -2v = -9 + 2v + -2v Combine like terms: -3v + -2v = -5v 21 + -5v = -9 + 2v + -2v Combine like terms: 2v + -2v = 0 21 + -5v = -9 + 0 21 + -5v = -9 Add '-21' to each side of the equation. 21 + -21 + -5v = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -5v = -9 + -21 -5v = -9 + -21 Combine like terms: -9 + -21 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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