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Simplifying -9(v + -4) = -6v + 45 Reorder the terms: -9(-4 + v) = -6v + 45 (-4 * -9 + v * -9) = -6v + 45 (36 + -9v) = -6v + 45 Reorder the terms: 36 + -9v = 45 + -6v Solving 36 + -9v = 45 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 36 + -9v + 6v = 45 + -6v + 6v Combine like terms: -9v + 6v = -3v 36 + -3v = 45 + -6v + 6v Combine like terms: -6v + 6v = 0 36 + -3v = 45 + 0 36 + -3v = 45 Add '-36' to each side of the equation. 36 + -36 + -3v = 45 + -36 Combine like terms: 36 + -36 = 0 0 + -3v = 45 + -36 -3v = 45 + -36 Combine like terms: 45 + -36 = 9 -3v = 9 Divide each side by '-3'. v = -3 Simplifying v = -3
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