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Simplifying 3(-4n + -9) = -1(10n + -8) + 3n Reorder the terms: 3(-9 + -4n) = -1(10n + -8) + 3n (-9 * 3 + -4n * 3) = -1(10n + -8) + 3n (-27 + -12n) = -1(10n + -8) + 3n Reorder the terms: -27 + -12n = -1(-8 + 10n) + 3n -27 + -12n = (-8 * -1 + 10n * -1) + 3n -27 + -12n = (8 + -10n) + 3n Combine like terms: -10n + 3n = -7n -27 + -12n = 8 + -7n Solving -27 + -12n = 8 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -27 + -12n + 7n = 8 + -7n + 7n Combine like terms: -12n + 7n = -5n -27 + -5n = 8 + -7n + 7n Combine like terms: -7n + 7n = 0 -27 + -5n = 8 + 0 -27 + -5n = 8 Add '27' to each side of the equation. -27 + 27 + -5n = 8 + 27 Combine like terms: -27 + 27 = 0 0 + -5n = 8 + 27 -5n = 8 + 27 Combine like terms: 8 + 27 = 35 -5n = 35 Divide each side by '-5'. n = -7 Simplifying n = -7
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