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Simplifying 6(-6 + -2n) = 6(12n + -6) + -9n (-6 * 6 + -2n * 6) = 6(12n + -6) + -9n (-36 + -12n) = 6(12n + -6) + -9n Reorder the terms: -36 + -12n = 6(-6 + 12n) + -9n -36 + -12n = (-6 * 6 + 12n * 6) + -9n -36 + -12n = (-36 + 72n) + -9n Combine like terms: 72n + -9n = 63n -36 + -12n = -36 + 63n Add '36' to each side of the equation. -36 + 36 + -12n = -36 + 36 + 63n Combine like terms: -36 + 36 = 0 0 + -12n = -36 + 36 + 63n -12n = -36 + 36 + 63n Combine like terms: -36 + 36 = 0 -12n = 0 + 63n -12n = 63n Solving -12n = 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. -12n + -63n = 63n + -63n Combine like terms: -12n + -63n = -75n -75n = 63n + -63n Combine like terms: 63n + -63n = 0 -75n = 0 Divide each side by '-75'. n = 0 Simplifying n = 0
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