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Simplifying 7(v + 8) = 2v + 36 Reorder the terms: 7(8 + v) = 2v + 36 (8 * 7 + v * 7) = 2v + 36 (56 + 7v) = 2v + 36 Reorder the terms: 56 + 7v = 36 + 2v Solving 56 + 7v = 36 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 56 + 7v + -2v = 36 + 2v + -2v Combine like terms: 7v + -2v = 5v 56 + 5v = 36 + 2v + -2v Combine like terms: 2v + -2v = 0 56 + 5v = 36 + 0 56 + 5v = 36 Add '-56' to each side of the equation. 56 + -56 + 5v = 36 + -56 Combine like terms: 56 + -56 = 0 0 + 5v = 36 + -56 5v = 36 + -56 Combine like terms: 36 + -56 = -20 5v = -20 Divide each side by '5'. v = -4 Simplifying v = -4
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