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Simplifying 9(v + -6) = 3v + -30 Reorder the terms: 9(-6 + v) = 3v + -30 (-6 * 9 + v * 9) = 3v + -30 (-54 + 9v) = 3v + -30 Reorder the terms: -54 + 9v = -30 + 3v Solving -54 + 9v = -30 + 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 = -30 + 3v + -3v Combine like terms: 9v + -3v = 6v -54 + 6v = -30 + 3v + -3v Combine like terms: 3v + -3v = 0 -54 + 6v = -30 + 0 -54 + 6v = -30 Add '54' to each side of the equation. -54 + 54 + 6v = -30 + 54 Combine like terms: -54 + 54 = 0 0 + 6v = -30 + 54 6v = -30 + 54 Combine like terms: -30 + 54 = 24 6v = 24 Divide each side by '6'. v = 4 Simplifying v = 4
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