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Simplifying -82 = 3 + -5(3v + 5) Reorder the terms: -82 = 3 + -5(5 + 3v) -82 = 3 + (5 * -5 + 3v * -5) -82 = 3 + (-25 + -15v) Combine like terms: 3 + -25 = -22 -82 = -22 + -15v Solving -82 = -22 + -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. -82 + 15v = -22 + -15v + 15v Combine like terms: -15v + 15v = 0 -82 + 15v = -22 + 0 -82 + 15v = -22 Add '82' to each side of the equation. -82 + 82 + 15v = -22 + 82 Combine like terms: -82 + 82 = 0 0 + 15v = -22 + 82 15v = -22 + 82 Combine like terms: -22 + 82 = 60 15v = 60 Divide each side by '15'. v = 4 Simplifying v = 4
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