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Simplifying 8v + -2 = 3(v + -9) Reorder the terms: -2 + 8v = 3(v + -9) Reorder the terms: -2 + 8v = 3(-9 + v) -2 + 8v = (-9 * 3 + v * 3) -2 + 8v = (-27 + 3v) Solving -2 + 8v = -27 + 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. -2 + 8v + -3v = -27 + 3v + -3v Combine like terms: 8v + -3v = 5v -2 + 5v = -27 + 3v + -3v Combine like terms: 3v + -3v = 0 -2 + 5v = -27 + 0 -2 + 5v = -27 Add '2' to each side of the equation. -2 + 2 + 5v = -27 + 2 Combine like terms: -2 + 2 = 0 0 + 5v = -27 + 2 5v = -27 + 2 Combine like terms: -27 + 2 = -25 5v = -25 Divide each side by '5'. v = -5 Simplifying v = -5
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