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Simplifying -6v + 48 = -9(v + -6) Reorder the terms: 48 + -6v = -9(v + -6) Reorder the terms: 48 + -6v = -9(-6 + v) 48 + -6v = (-6 * -9 + v * -9) 48 + -6v = (54 + -9v) Solving 48 + -6v = 54 + -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. 48 + -6v + 9v = 54 + -9v + 9v Combine like terms: -6v + 9v = 3v 48 + 3v = 54 + -9v + 9v Combine like terms: -9v + 9v = 0 48 + 3v = 54 + 0 48 + 3v = 54 Add '-48' to each side of the equation. 48 + -48 + 3v = 54 + -48 Combine like terms: 48 + -48 = 0 0 + 3v = 54 + -48 3v = 54 + -48 Combine like terms: 54 + -48 = 6 3v = 6 Divide each side by '3'. v = 2 Simplifying v = 2
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