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Simplifying 9v + -45 = 6(v + -6) Reorder the terms: -45 + 9v = 6(v + -6) Reorder the terms: -45 + 9v = 6(-6 + v) -45 + 9v = (-6 * 6 + v * 6) -45 + 9v = (-36 + 6v) Solving -45 + 9v = -36 + 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. -45 + 9v + -6v = -36 + 6v + -6v Combine like terms: 9v + -6v = 3v -45 + 3v = -36 + 6v + -6v Combine like terms: 6v + -6v = 0 -45 + 3v = -36 + 0 -45 + 3v = -36 Add '45' to each side of the equation. -45 + 45 + 3v = -36 + 45 Combine like terms: -45 + 45 = 0 0 + 3v = -36 + 45 3v = -36 + 45 Combine like terms: -36 + 45 = 9 3v = 9 Divide each side by '3'. v = 3 Simplifying v = 3
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