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Simplifying 7(1 + 9v) + -8(-5v + -6) = 0 (1 * 7 + 9v * 7) + -8(-5v + -6) = 0 (7 + 63v) + -8(-5v + -6) = 0 Reorder the terms: 7 + 63v + -8(-6 + -5v) = 0 7 + 63v + (-6 * -8 + -5v * -8) = 0 7 + 63v + (48 + 40v) = 0 Reorder the terms: 7 + 48 + 63v + 40v = 0 Combine like terms: 7 + 48 = 55 55 + 63v + 40v = 0 Combine like terms: 63v + 40v = 103v 55 + 103v = 0 Solving 55 + 103v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 103v = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 103v = 0 + -55 103v = 0 + -55 Combine like terms: 0 + -55 = -55 103v = -55 Divide each side by '103'. v = -0.5339805825 Simplifying v = -0.5339805825
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