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Simplifying -9 + 3v = -1(1 + -5v) + -4 -9 + 3v = (1 * -1 + -5v * -1) + -4 -9 + 3v = (-1 + 5v) + -4 Reorder the terms: -9 + 3v = -1 + -4 + 5v Combine like terms: -1 + -4 = -5 -9 + 3v = -5 + 5v Solving -9 + 3v = -5 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -9 + 3v + -5v = -5 + 5v + -5v Combine like terms: 3v + -5v = -2v -9 + -2v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 -9 + -2v = -5 + 0 -9 + -2v = -5 Add '9' to each side of the equation. -9 + 9 + -2v = -5 + 9 Combine like terms: -9 + 9 = 0 0 + -2v = -5 + 9 -2v = -5 + 9 Combine like terms: -5 + 9 = 4 -2v = 4 Divide each side by '-2'. v = -2 Simplifying v = -2
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