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Simplifying -9(v + -6) = -3v + 48 Reorder the terms: -9(-6 + v) = -3v + 48 (-6 * -9 + v * -9) = -3v + 48 (54 + -9v) = -3v + 48 Reorder the terms: 54 + -9v = 48 + -3v Solving 54 + -9v = 48 + -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 + -9v + 3v = 48 + -3v + 3v Combine like terms: -9v + 3v = -6v 54 + -6v = 48 + -3v + 3v Combine like terms: -3v + 3v = 0 54 + -6v = 48 + 0 54 + -6v = 48 Add '-54' to each side of the equation. 54 + -54 + -6v = 48 + -54 Combine like terms: 54 + -54 = 0 0 + -6v = 48 + -54 -6v = 48 + -54 Combine like terms: 48 + -54 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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