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Simplifying -7(3n + 9) = 12n Reorder the terms: -7(9 + 3n) = 12n (9 * -7 + 3n * -7) = 12n (-63 + -21n) = 12n Solving -63 + -21n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -63 + -21n + -12n = 12n + -12n Combine like terms: -21n + -12n = -33n -63 + -33n = 12n + -12n Combine like terms: 12n + -12n = 0 -63 + -33n = 0 Add '63' to each side of the equation. -63 + 63 + -33n = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -33n = 0 + 63 -33n = 0 + 63 Combine like terms: 0 + 63 = 63 -33n = 63 Divide each side by '-33'. n = -1.909090909 Simplifying n = -1.909090909
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