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Simplifying 4(v + 3) + -6(1 + -8v) = 6 Reorder the terms: 4(3 + v) + -6(1 + -8v) = 6 (3 * 4 + v * 4) + -6(1 + -8v) = 6 (12 + 4v) + -6(1 + -8v) = 6 12 + 4v + (1 * -6 + -8v * -6) = 6 12 + 4v + (-6 + 48v) = 6 Reorder the terms: 12 + -6 + 4v + 48v = 6 Combine like terms: 12 + -6 = 6 6 + 4v + 48v = 6 Combine like terms: 4v + 48v = 52v 6 + 52v = 6 Add '-6' to each side of the equation. 6 + -6 + 52v = 6 + -6 Combine like terms: 6 + -6 = 0 0 + 52v = 6 + -6 52v = 6 + -6 Combine like terms: 6 + -6 = 0 52v = 0 Solving 52v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '52'. v = 0 Simplifying v = 0
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