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Simplifying -138 = -6(3v + 5) Reorder the terms: -138 = -6(5 + 3v) -138 = (5 * -6 + 3v * -6) -138 = (-30 + -18v) Solving -138 = -30 + -18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18v' to each side of the equation. -138 + 18v = -30 + -18v + 18v Combine like terms: -18v + 18v = 0 -138 + 18v = -30 + 0 -138 + 18v = -30 Add '138' to each side of the equation. -138 + 138 + 18v = -30 + 138 Combine like terms: -138 + 138 = 0 0 + 18v = -30 + 138 18v = -30 + 138 Combine like terms: -30 + 138 = 108 18v = 108 Divide each side by '18'. v = 6 Simplifying v = 6
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