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Simplifying 4(v + 5) = -2(5v + -8) + 6v Reorder the terms: 4(5 + v) = -2(5v + -8) + 6v (5 * 4 + v * 4) = -2(5v + -8) + 6v (20 + 4v) = -2(5v + -8) + 6v Reorder the terms: 20 + 4v = -2(-8 + 5v) + 6v 20 + 4v = (-8 * -2 + 5v * -2) + 6v 20 + 4v = (16 + -10v) + 6v Combine like terms: -10v + 6v = -4v 20 + 4v = 16 + -4v Solving 20 + 4v = 16 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 20 + 4v + 4v = 16 + -4v + 4v Combine like terms: 4v + 4v = 8v 20 + 8v = 16 + -4v + 4v Combine like terms: -4v + 4v = 0 20 + 8v = 16 + 0 20 + 8v = 16 Add '-20' to each side of the equation. 20 + -20 + 8v = 16 + -20 Combine like terms: 20 + -20 = 0 0 + 8v = 16 + -20 8v = 16 + -20 Combine like terms: 16 + -20 = -4 8v = -4 Divide each side by '8'. v = -0.5 Simplifying v = -0.5
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