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Simplifying 3(v + -5) + -8v = 30 Reorder the terms: 3(-5 + v) + -8v = 30 (-5 * 3 + v * 3) + -8v = 30 (-15 + 3v) + -8v = 30 Combine like terms: 3v + -8v = -5v -15 + -5v = 30 Solving -15 + -5v = 30 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 + -5v = 30 + 15 Combine like terms: -15 + 15 = 0 0 + -5v = 30 + 15 -5v = 30 + 15 Combine like terms: 30 + 15 = 45 -5v = 45 Divide each side by '-5'. v = -9 Simplifying v = -9
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