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Simplifying 10(-2v + 11) + 2(11 + -4v) = -12v + 6v Reorder the terms: 10(11 + -2v) + 2(11 + -4v) = -12v + 6v (11 * 10 + -2v * 10) + 2(11 + -4v) = -12v + 6v (110 + -20v) + 2(11 + -4v) = -12v + 6v 110 + -20v + (11 * 2 + -4v * 2) = -12v + 6v 110 + -20v + (22 + -8v) = -12v + 6v Reorder the terms: 110 + 22 + -20v + -8v = -12v + 6v Combine like terms: 110 + 22 = 132 132 + -20v + -8v = -12v + 6v Combine like terms: -20v + -8v = -28v 132 + -28v = -12v + 6v Combine like terms: -12v + 6v = -6v 132 + -28v = -6v Solving 132 + -28v = -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. 132 + -28v + 6v = -6v + 6v Combine like terms: -28v + 6v = -22v 132 + -22v = -6v + 6v Combine like terms: -6v + 6v = 0 132 + -22v = 0 Add '-132' to each side of the equation. 132 + -132 + -22v = 0 + -132 Combine like terms: 132 + -132 = 0 0 + -22v = 0 + -132 -22v = 0 + -132 Combine like terms: 0 + -132 = -132 -22v = -132 Divide each side by '-22'. v = 6 Simplifying v = 6
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