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Simplifying 8(v + -8) + 7v = -34 Reorder the terms: 8(-8 + v) + 7v = -34 (-8 * 8 + v * 8) + 7v = -34 (-64 + 8v) + 7v = -34 Combine like terms: 8v + 7v = 15v -64 + 15v = -34 Solving -64 + 15v = -34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 15v = -34 + 64 Combine like terms: -64 + 64 = 0 0 + 15v = -34 + 64 15v = -34 + 64 Combine like terms: -34 + 64 = 30 15v = 30 Divide each side by '15'. v = 2 Simplifying v = 2
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