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Simplifying 5(-7n + -11) = 11(3n + -5) Reorder the terms: 5(-11 + -7n) = 11(3n + -5) (-11 * 5 + -7n * 5) = 11(3n + -5) (-55 + -35n) = 11(3n + -5) Reorder the terms: -55 + -35n = 11(-5 + 3n) -55 + -35n = (-5 * 11 + 3n * 11) -55 + -35n = (-55 + 33n) Add '55' to each side of the equation. -55 + 55 + -35n = -55 + 55 + 33n Combine like terms: -55 + 55 = 0 0 + -35n = -55 + 55 + 33n -35n = -55 + 55 + 33n Combine like terms: -55 + 55 = 0 -35n = 0 + 33n -35n = 33n Solving -35n = 33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33n' to each side of the equation. -35n + -33n = 33n + -33n Combine like terms: -35n + -33n = -68n -68n = 33n + -33n Combine like terms: 33n + -33n = 0 -68n = 0 Divide each side by '-68'. n = 0 Simplifying n = 0
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