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Simplifying 3(v + -7) = -9v + 15 Reorder the terms: 3(-7 + v) = -9v + 15 (-7 * 3 + v * 3) = -9v + 15 (-21 + 3v) = -9v + 15 Reorder the terms: -21 + 3v = 15 + -9v Solving -21 + 3v = 15 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -21 + 3v + 9v = 15 + -9v + 9v Combine like terms: 3v + 9v = 12v -21 + 12v = 15 + -9v + 9v Combine like terms: -9v + 9v = 0 -21 + 12v = 15 + 0 -21 + 12v = 15 Add '21' to each side of the equation. -21 + 21 + 12v = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 12v = 15 + 21 12v = 15 + 21 Combine like terms: 15 + 21 = 36 12v = 36 Divide each side by '12'. v = 3 Simplifying v = 3
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