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Simplifying 9(n + -1) + -1(1 + 12n) = -10n + 12n Reorder the terms: 9(-1 + n) + -1(1 + 12n) = -10n + 12n (-1 * 9 + n * 9) + -1(1 + 12n) = -10n + 12n (-9 + 9n) + -1(1 + 12n) = -10n + 12n -9 + 9n + (1 * -1 + 12n * -1) = -10n + 12n -9 + 9n + (-1 + -12n) = -10n + 12n Reorder the terms: -9 + -1 + 9n + -12n = -10n + 12n Combine like terms: -9 + -1 = -10 -10 + 9n + -12n = -10n + 12n Combine like terms: 9n + -12n = -3n -10 + -3n = -10n + 12n Combine like terms: -10n + 12n = 2n -10 + -3n = 2n Solving -10 + -3n = 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. -10 + -3n + -2n = 2n + -2n Combine like terms: -3n + -2n = -5n -10 + -5n = 2n + -2n Combine like terms: 2n + -2n = 0 -10 + -5n = 0 Add '10' to each side of the equation. -10 + 10 + -5n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5n = 0 + 10 -5n = 0 + 10 Combine like terms: 0 + 10 = 10 -5n = 10 Divide each side by '-5'. n = -2 Simplifying n = -2
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