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Simplifying 9 = 8v + 5(v + -6) Reorder the terms: 9 = 8v + 5(-6 + v) 9 = 8v + (-6 * 5 + v * 5) 9 = 8v + (-30 + 5v) Reorder the terms: 9 = -30 + 8v + 5v Combine like terms: 8v + 5v = 13v 9 = -30 + 13v Solving 9 = -30 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 9 + -13v = -30 + 13v + -13v Combine like terms: 13v + -13v = 0 9 + -13v = -30 + 0 9 + -13v = -30 Add '-9' to each side of the equation. 9 + -9 + -13v = -30 + -9 Combine like terms: 9 + -9 = 0 0 + -13v = -30 + -9 -13v = -30 + -9 Combine like terms: -30 + -9 = -39 -13v = -39 Divide each side by '-13'. v = 3 Simplifying v = 3
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