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Simplifying -9(n + 3) + -9n = -3n + -1(3 + -1n) + 8 Reorder the terms: -9(3 + n) + -9n = -3n + -1(3 + -1n) + 8 (3 * -9 + n * -9) + -9n = -3n + -1(3 + -1n) + 8 (-27 + -9n) + -9n = -3n + -1(3 + -1n) + 8 Combine like terms: -9n + -9n = -18n -27 + -18n = -3n + -1(3 + -1n) + 8 -27 + -18n = -3n + (3 * -1 + -1n * -1) + 8 -27 + -18n = -3n + (-3 + 1n) + 8 Reorder the terms: -27 + -18n = -3 + 8 + -3n + 1n Combine like terms: -3 + 8 = 5 -27 + -18n = 5 + -3n + 1n Combine like terms: -3n + 1n = -2n -27 + -18n = 5 + -2n Solving -27 + -18n = 5 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -27 + -18n + 2n = 5 + -2n + 2n Combine like terms: -18n + 2n = -16n -27 + -16n = 5 + -2n + 2n Combine like terms: -2n + 2n = 0 -27 + -16n = 5 + 0 -27 + -16n = 5 Add '27' to each side of the equation. -27 + 27 + -16n = 5 + 27 Combine like terms: -27 + 27 = 0 0 + -16n = 5 + 27 -16n = 5 + 27 Combine like terms: 5 + 27 = 32 -16n = 32 Divide each side by '-16'. n = -2 Simplifying n = -2
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