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Simplifying -3(5v + -9) = 15v + 2 Reorder the terms: -3(-9 + 5v) = 15v + 2 (-9 * -3 + 5v * -3) = 15v + 2 (27 + -15v) = 15v + 2 Reorder the terms: 27 + -15v = 2 + 15v Solving 27 + -15v = 2 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 27 + -15v + -15v = 2 + 15v + -15v Combine like terms: -15v + -15v = -30v 27 + -30v = 2 + 15v + -15v Combine like terms: 15v + -15v = 0 27 + -30v = 2 + 0 27 + -30v = 2 Add '-27' to each side of the equation. 27 + -27 + -30v = 2 + -27 Combine like terms: 27 + -27 = 0 0 + -30v = 2 + -27 -30v = 2 + -27 Combine like terms: 2 + -27 = -25 -30v = -25 Divide each side by '-30'. v = 0.8333333333 Simplifying v = 0.8333333333
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