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Simplifying 2(v + 8) = 7v + -4 Reorder the terms: 2(8 + v) = 7v + -4 (8 * 2 + v * 2) = 7v + -4 (16 + 2v) = 7v + -4 Reorder the terms: 16 + 2v = -4 + 7v Solving 16 + 2v = -4 + 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 = -4 + 7v + -7v Combine like terms: 2v + -7v = -5v 16 + -5v = -4 + 7v + -7v Combine like terms: 7v + -7v = 0 16 + -5v = -4 + 0 16 + -5v = -4 Add '-16' to each side of the equation. 16 + -16 + -5v = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -5v = -4 + -16 -5v = -4 + -16 Combine like terms: -4 + -16 = -20 -5v = -20 Divide each side by '-5'. v = 4 Simplifying v = 4
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