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Simplifying 6(v + 5) + -8v = 36 Reorder the terms: 6(5 + v) + -8v = 36 (5 * 6 + v * 6) + -8v = 36 (30 + 6v) + -8v = 36 Combine like terms: 6v + -8v = -2v 30 + -2v = 36 Solving 30 + -2v = 36 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -2v = 36 + -30 Combine like terms: 30 + -30 = 0 0 + -2v = 36 + -30 -2v = 36 + -30 Combine like terms: 36 + -30 = 6 -2v = 6 Divide each side by '-2'. v = -3 Simplifying v = -3
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