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Simplifying -2(v + -8) = 7v + -2 Reorder the terms: -2(-8 + v) = 7v + -2 (-8 * -2 + v * -2) = 7v + -2 (16 + -2v) = 7v + -2 Reorder the terms: 16 + -2v = -2 + 7v Solving 16 + -2v = -2 + 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. 16 + -2v + -7v = -2 + 7v + -7v Combine like terms: -2v + -7v = -9v 16 + -9v = -2 + 7v + -7v Combine like terms: 7v + -7v = 0 16 + -9v = -2 + 0 16 + -9v = -2 Add '-16' to each side of the equation. 16 + -16 + -9v = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -9v = -2 + -16 -9v = -2 + -16 Combine like terms: -2 + -16 = -18 -9v = -18 Divide each side by '-9'. v = 2 Simplifying v = 2
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