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Simplifying -211 = -6(5 + 6v) + -1 -211 = (5 * -6 + 6v * -6) + -1 -211 = (-30 + -36v) + -1 Reorder the terms: -211 = -30 + -1 + -36v Combine like terms: -30 + -1 = -31 -211 = -31 + -36v Solving -211 = -31 + -36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '36v' to each side of the equation. -211 + 36v = -31 + -36v + 36v Combine like terms: -36v + 36v = 0 -211 + 36v = -31 + 0 -211 + 36v = -31 Add '211' to each side of the equation. -211 + 211 + 36v = -31 + 211 Combine like terms: -211 + 211 = 0 0 + 36v = -31 + 211 36v = -31 + 211 Combine like terms: -31 + 211 = 180 36v = 180 Divide each side by '36'. v = 5 Simplifying v = 5
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