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Simplifying -7(9 + -6n) = 3 + 9n (9 * -7 + -6n * -7) = 3 + 9n (-63 + 42n) = 3 + 9n Solving -63 + 42n = 3 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -63 + 42n + -9n = 3 + 9n + -9n Combine like terms: 42n + -9n = 33n -63 + 33n = 3 + 9n + -9n Combine like terms: 9n + -9n = 0 -63 + 33n = 3 + 0 -63 + 33n = 3 Add '63' to each side of the equation. -63 + 63 + 33n = 3 + 63 Combine like terms: -63 + 63 = 0 0 + 33n = 3 + 63 33n = 3 + 63 Combine like terms: 3 + 63 = 66 33n = 66 Divide each side by '33'. n = 2 Simplifying n = 2
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