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Simplifying -9(7n + 6) = -33 + 5n Reorder the terms: -9(6 + 7n) = -33 + 5n (6 * -9 + 7n * -9) = -33 + 5n (-54 + -63n) = -33 + 5n Solving -54 + -63n = -33 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -54 + -63n + -5n = -33 + 5n + -5n Combine like terms: -63n + -5n = -68n -54 + -68n = -33 + 5n + -5n Combine like terms: 5n + -5n = 0 -54 + -68n = -33 + 0 -54 + -68n = -33 Add '54' to each side of the equation. -54 + 54 + -68n = -33 + 54 Combine like terms: -54 + 54 = 0 0 + -68n = -33 + 54 -68n = -33 + 54 Combine like terms: -33 + 54 = 21 -68n = 21 Divide each side by '-68'. n = -0.3088235294 Simplifying n = -0.3088235294
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