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Simplifying -5v + -9 = -3(v + 1) Reorder the terms: -9 + -5v = -3(v + 1) Reorder the terms: -9 + -5v = -3(1 + v) -9 + -5v = (1 * -3 + v * -3) -9 + -5v = (-3 + -3v) Solving -9 + -5v = -3 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -9 + -5v + 3v = -3 + -3v + 3v Combine like terms: -5v + 3v = -2v -9 + -2v = -3 + -3v + 3v Combine like terms: -3v + 3v = 0 -9 + -2v = -3 + 0 -9 + -2v = -3 Add '9' to each side of the equation. -9 + 9 + -2v = -3 + 9 Combine like terms: -9 + 9 = 0 0 + -2v = -3 + 9 -2v = -3 + 9 Combine like terms: -3 + 9 = 6 -2v = 6 Divide each side by '-2'. v = -3 Simplifying v = -3
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