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Simplifying -9v + -27 = -4(v + 8) Reorder the terms: -27 + -9v = -4(v + 8) Reorder the terms: -27 + -9v = -4(8 + v) -27 + -9v = (8 * -4 + v * -4) -27 + -9v = (-32 + -4v) Solving -27 + -9v = -32 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -27 + -9v + 4v = -32 + -4v + 4v Combine like terms: -9v + 4v = -5v -27 + -5v = -32 + -4v + 4v Combine like terms: -4v + 4v = 0 -27 + -5v = -32 + 0 -27 + -5v = -32 Add '27' to each side of the equation. -27 + 27 + -5v = -32 + 27 Combine like terms: -27 + 27 = 0 0 + -5v = -32 + 27 -5v = -32 + 27 Combine like terms: -32 + 27 = -5 -5v = -5 Divide each side by '-5'. v = 1 Simplifying v = 1
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