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Simplifying 6(v + -1) = 30 + -3v Reorder the terms: 6(-1 + v) = 30 + -3v (-1 * 6 + v * 6) = 30 + -3v (-6 + 6v) = 30 + -3v Solving -6 + 6v = 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. -6 + 6v + 3v = 30 + -3v + 3v Combine like terms: 6v + 3v = 9v -6 + 9v = 30 + -3v + 3v Combine like terms: -3v + 3v = 0 -6 + 9v = 30 + 0 -6 + 9v = 30 Add '6' to each side of the equation. -6 + 6 + 9v = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 9v = 30 + 6 9v = 30 + 6 Combine like terms: 30 + 6 = 36 9v = 36 Divide each side by '9'. v = 4 Simplifying v = 4
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