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Simplifying -3(v + 5) = -8v + 10 Reorder the terms: -3(5 + v) = -8v + 10 (5 * -3 + v * -3) = -8v + 10 (-15 + -3v) = -8v + 10 Reorder the terms: -15 + -3v = 10 + -8v Solving -15 + -3v = 10 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -15 + -3v + 8v = 10 + -8v + 8v Combine like terms: -3v + 8v = 5v -15 + 5v = 10 + -8v + 8v Combine like terms: -8v + 8v = 0 -15 + 5v = 10 + 0 -15 + 5v = 10 Add '15' to each side of the equation. -15 + 15 + 5v = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 5v = 10 + 15 5v = 10 + 15 Combine like terms: 10 + 15 = 25 5v = 25 Divide each side by '5'. v = 5 Simplifying v = 5
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