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Simplifying 11(10v + -12) = 11(11v + -8) Reorder the terms: 11(-12 + 10v) = 11(11v + -8) (-12 * 11 + 10v * 11) = 11(11v + -8) (-132 + 110v) = 11(11v + -8) Reorder the terms: -132 + 110v = 11(-8 + 11v) -132 + 110v = (-8 * 11 + 11v * 11) -132 + 110v = (-88 + 121v) Solving -132 + 110v = -88 + 121v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-121v' to each side of the equation. -132 + 110v + -121v = -88 + 121v + -121v Combine like terms: 110v + -121v = -11v -132 + -11v = -88 + 121v + -121v Combine like terms: 121v + -121v = 0 -132 + -11v = -88 + 0 -132 + -11v = -88 Add '132' to each side of the equation. -132 + 132 + -11v = -88 + 132 Combine like terms: -132 + 132 = 0 0 + -11v = -88 + 132 -11v = -88 + 132 Combine like terms: -88 + 132 = 44 -11v = 44 Divide each side by '-11'. v = -4 Simplifying v = -4
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