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Simplifying 4(v + -1) = -9v + 9 Reorder the terms: 4(-1 + v) = -9v + 9 (-1 * 4 + v * 4) = -9v + 9 (-4 + 4v) = -9v + 9 Reorder the terms: -4 + 4v = 9 + -9v Solving -4 + 4v = 9 + -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 = 9 + -9v + 9v Combine like terms: 4v + 9v = 13v -4 + 13v = 9 + -9v + 9v Combine like terms: -9v + 9v = 0 -4 + 13v = 9 + 0 -4 + 13v = 9 Add '4' to each side of the equation. -4 + 4 + 13v = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 13v = 9 + 4 13v = 9 + 4 Combine like terms: 9 + 4 = 13 13v = 13 Divide each side by '13'. v = 1 Simplifying v = 1
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