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Simplifying -12(n + -3) = -5(11 + 5n) Reorder the terms: -12(-3 + n) = -5(11 + 5n) (-3 * -12 + n * -12) = -5(11 + 5n) (36 + -12n) = -5(11 + 5n) 36 + -12n = (11 * -5 + 5n * -5) 36 + -12n = (-55 + -25n) Solving 36 + -12n = -55 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. 36 + -12n + 25n = -55 + -25n + 25n Combine like terms: -12n + 25n = 13n 36 + 13n = -55 + -25n + 25n Combine like terms: -25n + 25n = 0 36 + 13n = -55 + 0 36 + 13n = -55 Add '-36' to each side of the equation. 36 + -36 + 13n = -55 + -36 Combine like terms: 36 + -36 = 0 0 + 13n = -55 + -36 13n = -55 + -36 Combine like terms: -55 + -36 = -91 13n = -91 Divide each side by '13'. n = -7 Simplifying n = -7
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