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Simplifying -27 = -3v + 8(v + -4) Reorder the terms: -27 = -3v + 8(-4 + v) -27 = -3v + (-4 * 8 + v * 8) -27 = -3v + (-32 + 8v) Reorder the terms: -27 = -32 + -3v + 8v Combine like terms: -3v + 8v = 5v -27 = -32 + 5v Solving -27 = -32 + 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. -27 + -5v = -32 + 5v + -5v Combine like terms: 5v + -5v = 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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