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Simplifying 5(6v + -4) = -10(11 + -12v) Reorder the terms: 5(-4 + 6v) = -10(11 + -12v) (-4 * 5 + 6v * 5) = -10(11 + -12v) (-20 + 30v) = -10(11 + -12v) -20 + 30v = (11 * -10 + -12v * -10) -20 + 30v = (-110 + 120v) Solving -20 + 30v = -110 + 120v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-120v' to each side of the equation. -20 + 30v + -120v = -110 + 120v + -120v Combine like terms: 30v + -120v = -90v -20 + -90v = -110 + 120v + -120v Combine like terms: 120v + -120v = 0 -20 + -90v = -110 + 0 -20 + -90v = -110 Add '20' to each side of the equation. -20 + 20 + -90v = -110 + 20 Combine like terms: -20 + 20 = 0 0 + -90v = -110 + 20 -90v = -110 + 20 Combine like terms: -110 + 20 = -90 -90v = -90 Divide each side by '-90'. v = 1 Simplifying v = 1
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