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Simplifying 11(7 + -3v) = -11(v + -12) * 11 (7 * 11 + -3v * 11) = -11(v + -12) * 11 (77 + -33v) = -11(v + -12) * 11 Reorder the terms: 77 + -33v = -11(-12 + v) * 11 Reorder the terms for easier multiplication: 77 + -33v = -11 * 11(-12 + v) Multiply -11 * 11 77 + -33v = -121(-12 + v) 77 + -33v = (-12 * -121 + v * -121) 77 + -33v = (1452 + -121v) Solving 77 + -33v = 1452 + -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. 77 + -33v + 121v = 1452 + -121v + 121v Combine like terms: -33v + 121v = 88v 77 + 88v = 1452 + -121v + 121v Combine like terms: -121v + 121v = 0 77 + 88v = 1452 + 0 77 + 88v = 1452 Add '-77' to each side of the equation. 77 + -77 + 88v = 1452 + -77 Combine like terms: 77 + -77 = 0 0 + 88v = 1452 + -77 88v = 1452 + -77 Combine like terms: 1452 + -77 = 1375 88v = 1375 Divide each side by '88'. v = 15.625 Simplifying v = 15.625
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