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Simplifying -7(6n + 9) = 12n Reorder the terms: -7(9 + 6n) = 12n (9 * -7 + 6n * -7) = 12n (-63 + -42n) = 12n Solving -63 + -42n = 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 + -42n + -12n = 12n + -12n Combine like terms: -42n + -12n = -54n -63 + -54n = 12n + -12n Combine like terms: 12n + -12n = 0 -63 + -54n = 0 Add '63' to each side of the equation. -63 + 63 + -54n = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -54n = 0 + 63 -54n = 0 + 63 Combine like terms: 0 + 63 = 63 -54n = 63 Divide each side by '-54'. n = -1.166666667 Simplifying n = -1.166666667
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