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Simplifying -2(v + 8) = 5v + -2 Reorder the terms: -2(8 + v) = 5v + -2 (8 * -2 + v * -2) = 5v + -2 (-16 + -2v) = 5v + -2 Reorder the terms: -16 + -2v = -2 + 5v Solving -16 + -2v = -2 + 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 = -2 + 5v + -5v Combine like terms: -2v + -5v = -7v -16 + -7v = -2 + 5v + -5v Combine like terms: 5v + -5v = 0 -16 + -7v = -2 + 0 -16 + -7v = -2 Add '16' to each side of the equation. -16 + 16 + -7v = -2 + 16 Combine like terms: -16 + 16 = 0 0 + -7v = -2 + 16 -7v = -2 + 16 Combine like terms: -2 + 16 = 14 -7v = 14 Divide each side by '-7'. v = -2 Simplifying v = -2
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