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