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Simplifying 7(v + 81) = 63 Reorder the terms: 7(81 + v) = 63 (81 * 7 + v * 7) = 63 (567 + 7v) = 63 Solving 567 + 7v = 63 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-567' to each side of the equation. 567 + -567 + 7v = 63 + -567 Combine like terms: 567 + -567 = 0 0 + 7v = 63 + -567 7v = 63 + -567 Combine like terms: 63 + -567 = -504 7v = -504 Divide each side by '7'. v = -72 Simplifying v = -72
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