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Simplifying -2(v + -8) = 5v + 9 Reorder the terms: -2(-8 + v) = 5v + 9 (-8 * -2 + v * -2) = 5v + 9 (16 + -2v) = 5v + 9 Reorder the terms: 16 + -2v = 9 + 5v Solving 16 + -2v = 9 + 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. 16 + -2v + -5v = 9 + 5v + -5v Combine like terms: -2v + -5v = -7v 16 + -7v = 9 + 5v + -5v Combine like terms: 5v + -5v = 0 16 + -7v = 9 + 0 16 + -7v = 9 Add '-16' to each side of the equation. 16 + -16 + -7v = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -7v = 9 + -16 -7v = 9 + -16 Combine like terms: 9 + -16 = -7 -7v = -7 Divide each side by '-7'. v = 1 Simplifying v = 1
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