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Simplifying -4(9n + 9) = -8(-3n + -3) Reorder the terms: -4(9 + 9n) = -8(-3n + -3) (9 * -4 + 9n * -4) = -8(-3n + -3) (-36 + -36n) = -8(-3n + -3) Reorder the terms: -36 + -36n = -8(-3 + -3n) -36 + -36n = (-3 * -8 + -3n * -8) -36 + -36n = (24 + 24n) Solving -36 + -36n = 24 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -36 + -36n + -24n = 24 + 24n + -24n Combine like terms: -36n + -24n = -60n -36 + -60n = 24 + 24n + -24n Combine like terms: 24n + -24n = 0 -36 + -60n = 24 + 0 -36 + -60n = 24 Add '36' to each side of the equation. -36 + 36 + -60n = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -60n = 24 + 36 -60n = 24 + 36 Combine like terms: 24 + 36 = 60 -60n = 60 Divide each side by '-60'. n = -1 Simplifying n = -1
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