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Simplifying -6v + -5(1 + -12v) = -1 + 11(-7 + -6v) -6v + (1 * -5 + -12v * -5) = -1 + 11(-7 + -6v) -6v + (-5 + 60v) = -1 + 11(-7 + -6v) Reorder the terms: -5 + -6v + 60v = -1 + 11(-7 + -6v) Combine like terms: -6v + 60v = 54v -5 + 54v = -1 + 11(-7 + -6v) -5 + 54v = -1 + (-7 * 11 + -6v * 11) -5 + 54v = -1 + (-77 + -66v) Combine like terms: -1 + -77 = -78 -5 + 54v = -78 + -66v Solving -5 + 54v = -78 + -66v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '66v' to each side of the equation. -5 + 54v + 66v = -78 + -66v + 66v Combine like terms: 54v + 66v = 120v -5 + 120v = -78 + -66v + 66v Combine like terms: -66v + 66v = 0 -5 + 120v = -78 + 0 -5 + 120v = -78 Add '5' to each side of the equation. -5 + 5 + 120v = -78 + 5 Combine like terms: -5 + 5 = 0 0 + 120v = -78 + 5 120v = -78 + 5 Combine like terms: -78 + 5 = -73 120v = -73 Divide each side by '120'. v = -0.6083333333 Simplifying v = -0.6083333333
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