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Simplifying 4(v + -5) + -6 = -4(6v + 7) + -84 Reorder the terms: 4(-5 + v) + -6 = -4(6v + 7) + -84 (-5 * 4 + v * 4) + -6 = -4(6v + 7) + -84 (-20 + 4v) + -6 = -4(6v + 7) + -84 Reorder the terms: -20 + -6 + 4v = -4(6v + 7) + -84 Combine like terms: -20 + -6 = -26 -26 + 4v = -4(6v + 7) + -84 Reorder the terms: -26 + 4v = -4(7 + 6v) + -84 -26 + 4v = (7 * -4 + 6v * -4) + -84 -26 + 4v = (-28 + -24v) + -84 Reorder the terms: -26 + 4v = -28 + -84 + -24v Combine like terms: -28 + -84 = -112 -26 + 4v = -112 + -24v Solving -26 + 4v = -112 + -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. -26 + 4v + 24v = -112 + -24v + 24v Combine like terms: 4v + 24v = 28v -26 + 28v = -112 + -24v + 24v Combine like terms: -24v + 24v = 0 -26 + 28v = -112 + 0 -26 + 28v = -112 Add '26' to each side of the equation. -26 + 26 + 28v = -112 + 26 Combine like terms: -26 + 26 = 0 0 + 28v = -112 + 26 28v = -112 + 26 Combine like terms: -112 + 26 = -86 28v = -86 Divide each side by '28'. v = -3.071428571 Simplifying v = -3.071428571
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