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