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Simplifying 4(v + 1) = -2(9v + -6) + 8v Reorder the terms: 4(1 + v) = -2(9v + -6) + 8v (1 * 4 + v * 4) = -2(9v + -6) + 8v (4 + 4v) = -2(9v + -6) + 8v Reorder the terms: 4 + 4v = -2(-6 + 9v) + 8v 4 + 4v = (-6 * -2 + 9v * -2) + 8v 4 + 4v = (12 + -18v) + 8v Combine like terms: -18v + 8v = -10v 4 + 4v = 12 + -10v Solving 4 + 4v = 12 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 4 + 4v + 10v = 12 + -10v + 10v Combine like terms: 4v + 10v = 14v 4 + 14v = 12 + -10v + 10v Combine like terms: -10v + 10v = 0 4 + 14v = 12 + 0 4 + 14v = 12 Add '-4' to each side of the equation. 4 + -4 + 14v = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 14v = 12 + -4 14v = 12 + -4 Combine like terms: 12 + -4 = 8 14v = 8 Divide each side by '14'. v = 0.5714285714 Simplifying v = 0.5714285714
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