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Simplifying -13 + -40(20v + -34) = 22v + -11(v + 25) Reorder the terms: -13 + -40(-34 + 20v) = 22v + -11(v + 25) -13 + (-34 * -40 + 20v * -40) = 22v + -11(v + 25) -13 + (1360 + -800v) = 22v + -11(v + 25) Combine like terms: -13 + 1360 = 1347 1347 + -800v = 22v + -11(v + 25) Reorder the terms: 1347 + -800v = 22v + -11(25 + v) 1347 + -800v = 22v + (25 * -11 + v * -11) 1347 + -800v = 22v + (-275 + -11v) Reorder the terms: 1347 + -800v = -275 + 22v + -11v Combine like terms: 22v + -11v = 11v 1347 + -800v = -275 + 11v Solving 1347 + -800v = -275 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 1347 + -800v + -11v = -275 + 11v + -11v Combine like terms: -800v + -11v = -811v 1347 + -811v = -275 + 11v + -11v Combine like terms: 11v + -11v = 0 1347 + -811v = -275 + 0 1347 + -811v = -275 Add '-1347' to each side of the equation. 1347 + -1347 + -811v = -275 + -1347 Combine like terms: 1347 + -1347 = 0 0 + -811v = -275 + -1347 -811v = -275 + -1347 Combine like terms: -275 + -1347 = -1622 -811v = -1622 Divide each side by '-811'. v = 2 Simplifying v = 2
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