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Simplifying -9 + 6v = -7(v + -8) Reorder the terms: -9 + 6v = -7(-8 + v) -9 + 6v = (-8 * -7 + v * -7) -9 + 6v = (56 + -7v) Solving -9 + 6v = 56 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -9 + 6v + 7v = 56 + -7v + 7v Combine like terms: 6v + 7v = 13v -9 + 13v = 56 + -7v + 7v Combine like terms: -7v + 7v = 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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