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Simplifying 3(-9 + -13n) = -3(6n + -12) (-9 * 3 + -13n * 3) = -3(6n + -12) (-27 + -39n) = -3(6n + -12) Reorder the terms: -27 + -39n = -3(-12 + 6n) -27 + -39n = (-12 * -3 + 6n * -3) -27 + -39n = (36 + -18n) Solving -27 + -39n = 36 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -27 + -39n + 18n = 36 + -18n + 18n Combine like terms: -39n + 18n = -21n -27 + -21n = 36 + -18n + 18n Combine like terms: -18n + 18n = 0 -27 + -21n = 36 + 0 -27 + -21n = 36 Add '27' to each side of the equation. -27 + 27 + -21n = 36 + 27 Combine like terms: -27 + 27 = 0 0 + -21n = 36 + 27 -21n = 36 + 27 Combine like terms: 36 + 27 = 63 -21n = 63 Divide each side by '-21'. n = -3 Simplifying n = -3
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