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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 = -45 -5v = -45 Divide each side by '-5'. v = 9 Simplifying v = 9
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