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Simplifying 9 = 7(v + -8) + 6v Reorder the terms: 9 = 7(-8 + v) + 6v 9 = (-8 * 7 + v * 7) + 6v 9 = (-56 + 7v) + 6v Combine like terms: 7v + 6v = 13v 9 = -56 + 13v Solving 9 = -56 + 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 = -56 + 13v + -13v Combine like terms: 13v + -13v = 0 9 + -13v = -56 + 0 9 + -13v = -56 Add '-9' to each side of the equation. 9 + -9 + -13v = -56 + -9 Combine like terms: 9 + -9 = 0 0 + -13v = -56 + -9 -13v = -56 + -9 Combine like terms: -56 + -9 = -65 -13v = -65 Divide each side by '-13'. v = 5 Simplifying v = 5
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