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Simplifying -2v + 9 = 5(v + -8) Reorder the terms: 9 + -2v = 5(v + -8) Reorder the terms: 9 + -2v = 5(-8 + v) 9 + -2v = (-8 * 5 + v * 5) 9 + -2v = (-40 + 5v) Solving 9 + -2v = -40 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 9 + -2v + -5v = -40 + 5v + -5v Combine like terms: -2v + -5v = -7v 9 + -7v = -40 + 5v + -5v Combine like terms: 5v + -5v = 0 9 + -7v = -40 + 0 9 + -7v = -40 Add '-9' to each side of the equation. 9 + -9 + -7v = -40 + -9 Combine like terms: 9 + -9 = 0 0 + -7v = -40 + -9 -7v = -40 + -9 Combine like terms: -40 + -9 = -49 -7v = -49 Divide each side by '-7'. v = 7 Simplifying v = 7
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