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Simplifying -83 = -6(-2 + 3v) + -5 -83 = (-2 * -6 + 3v * -6) + -5 -83 = (12 + -18v) + -5 Reorder the terms: -83 = 12 + -5 + -18v Combine like terms: 12 + -5 = 7 -83 = 7 + -18v Solving -83 = 7 + -18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18v' to each side of the equation. -83 + 18v = 7 + -18v + 18v Combine like terms: -18v + 18v = 0 -83 + 18v = 7 + 0 -83 + 18v = 7 Add '83' to each side of the equation. -83 + 83 + 18v = 7 + 83 Combine like terms: -83 + 83 = 0 0 + 18v = 7 + 83 18v = 7 + 83 Combine like terms: 7 + 83 = 90 18v = 90 Divide each side by '18'. v = 5 Simplifying v = 5
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