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Simplifying -7v + 2(v + 8) = 1 Reorder the terms: -7v + 2(8 + v) = 1 -7v + (8 * 2 + v * 2) = 1 -7v + (16 + 2v) = 1 Reorder the terms: 16 + -7v + 2v = 1 Combine like terms: -7v + 2v = -5v 16 + -5v = 1 Solving 16 + -5v = 1 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -5v = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -5v = 1 + -16 -5v = 1 + -16 Combine like terms: 1 + -16 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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