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Simplifying -6(v + -9) = -3v + 45 Reorder the terms: -6(-9 + v) = -3v + 45 (-9 * -6 + v * -6) = -3v + 45 (54 + -6v) = -3v + 45 Reorder the terms: 54 + -6v = 45 + -3v Solving 54 + -6v = 45 + -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. 54 + -6v + 3v = 45 + -3v + 3v Combine like terms: -6v + 3v = -3v 54 + -3v = 45 + -3v + 3v Combine like terms: -3v + 3v = 0 54 + -3v = 45 + 0 54 + -3v = 45 Add '-54' to each side of the equation. 54 + -54 + -3v = 45 + -54 Combine like terms: 54 + -54 = 0 0 + -3v = 45 + -54 -3v = 45 + -54 Combine like terms: 45 + -54 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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