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