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Simplifying -213 = -5(1 + 6v) + 2 -213 = (1 * -5 + 6v * -5) + 2 -213 = (-5 + -30v) + 2 Reorder the terms: -213 = -5 + 2 + -30v Combine like terms: -5 + 2 = -3 -213 = -3 + -30v Solving -213 = -3 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. -213 + 30v = -3 + -30v + 30v Combine like terms: -30v + 30v = 0 -213 + 30v = -3 + 0 -213 + 30v = -3 Add '213' to each side of the equation. -213 + 213 + 30v = -3 + 213 Combine like terms: -213 + 213 = 0 0 + 30v = -3 + 213 30v = -3 + 213 Combine like terms: -3 + 213 = 210 30v = 210 Divide each side by '30'. v = 7 Simplifying v = 7
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