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Simplifying -5(-4v + 4) + -6v = 6(v + -5) + -2 Reorder the terms: -5(4 + -4v) + -6v = 6(v + -5) + -2 (4 * -5 + -4v * -5) + -6v = 6(v + -5) + -2 (-20 + 20v) + -6v = 6(v + -5) + -2 Combine like terms: 20v + -6v = 14v -20 + 14v = 6(v + -5) + -2 Reorder the terms: -20 + 14v = 6(-5 + v) + -2 -20 + 14v = (-5 * 6 + v * 6) + -2 -20 + 14v = (-30 + 6v) + -2 Reorder the terms: -20 + 14v = -30 + -2 + 6v Combine like terms: -30 + -2 = -32 -20 + 14v = -32 + 6v Solving -20 + 14v = -32 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -20 + 14v + -6v = -32 + 6v + -6v Combine like terms: 14v + -6v = 8v -20 + 8v = -32 + 6v + -6v Combine like terms: 6v + -6v = 0 -20 + 8v = -32 + 0 -20 + 8v = -32 Add '20' to each side of the equation. -20 + 20 + 8v = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 8v = -32 + 20 8v = -32 + 20 Combine like terms: -32 + 20 = -12 8v = -12 Divide each side by '8'. v = -1.5 Simplifying v = -1.5
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