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Simplifying -6(v + 1) = -9v + 15 Reorder the terms: -6(1 + v) = -9v + 15 (1 * -6 + v * -6) = -9v + 15 (-6 + -6v) = -9v + 15 Reorder the terms: -6 + -6v = 15 + -9v Solving -6 + -6v = 15 + -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 = 15 + -9v + 9v Combine like terms: -6v + 9v = 3v -6 + 3v = 15 + -9v + 9v Combine like terms: -9v + 9v = 0 -6 + 3v = 15 + 0 -6 + 3v = 15 Add '6' to each side of the equation. -6 + 6 + 3v = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 3v = 15 + 6 3v = 15 + 6 Combine like terms: 15 + 6 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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