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Simplifying 11 = 8(v + -8) + 7v Reorder the terms: 11 = 8(-8 + v) + 7v 11 = (-8 * 8 + v * 8) + 7v 11 = (-64 + 8v) + 7v Combine like terms: 8v + 7v = 15v 11 = -64 + 15v Solving 11 = -64 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 11 + -15v = -64 + 15v + -15v Combine like terms: 15v + -15v = 0 11 + -15v = -64 + 0 11 + -15v = -64 Add '-11' to each side of the equation. 11 + -11 + -15v = -64 + -11 Combine like terms: 11 + -11 = 0 0 + -15v = -64 + -11 -15v = -64 + -11 Combine like terms: -64 + -11 = -75 -15v = -75 Divide each side by '-15'. v = 5 Simplifying v = 5
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