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Simplifying 9(v + -7) = -3v + -15 Reorder the terms: 9(-7 + v) = -3v + -15 (-7 * 9 + v * 9) = -3v + -15 (-63 + 9v) = -3v + -15 Reorder the terms: -63 + 9v = -15 + -3v Solving -63 + 9v = -15 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -63 + 9v + 3v = -15 + -3v + 3v Combine like terms: 9v + 3v = 12v -63 + 12v = -15 + -3v + 3v Combine like terms: -3v + 3v = 0 -63 + 12v = -15 + 0 -63 + 12v = -15 Add '63' to each side of the equation. -63 + 63 + 12v = -15 + 63 Combine like terms: -63 + 63 = 0 0 + 12v = -15 + 63 12v = -15 + 63 Combine like terms: -15 + 63 = 48 12v = 48 Divide each side by '12'. v = 4 Simplifying v = 4
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