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Simplifying -4(v + 1) = -9v + 6 Reorder the terms: -4(1 + v) = -9v + 6 (1 * -4 + v * -4) = -9v + 6 (-4 + -4v) = -9v + 6 Reorder the terms: -4 + -4v = 6 + -9v Solving -4 + -4v = 6 + -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. -4 + -4v + 9v = 6 + -9v + 9v Combine like terms: -4v + 9v = 5v -4 + 5v = 6 + -9v + 9v Combine like terms: -9v + 9v = 0 -4 + 5v = 6 + 0 -4 + 5v = 6 Add '4' to each side of the equation. -4 + 4 + 5v = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5v = 6 + 4 5v = 6 + 4 Combine like terms: 6 + 4 = 10 5v = 10 Divide each side by '5'. v = 2 Simplifying v = 2
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