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Simplifying 3(v + -5) + 8v = 18 Reorder the terms: 3(-5 + v) + 8v = 18 (-5 * 3 + v * 3) + 8v = 18 (-15 + 3v) + 8v = 18 Combine like terms: 3v + 8v = 11v -15 + 11v = 18 Solving -15 + 11v = 18 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 11v = 18 + 15 Combine like terms: -15 + 15 = 0 0 + 11v = 18 + 15 11v = 18 + 15 Combine like terms: 18 + 15 = 33 11v = 33 Divide each side by '11'. v = 3 Simplifying v = 3
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