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Simplifying 3(n + 9) + -1(2 + 9n) = -7n Reorder the terms: 3(9 + n) + -1(2 + 9n) = -7n (9 * 3 + n * 3) + -1(2 + 9n) = -7n (27 + 3n) + -1(2 + 9n) = -7n 27 + 3n + (2 * -1 + 9n * -1) = -7n 27 + 3n + (-2 + -9n) = -7n Reorder the terms: 27 + -2 + 3n + -9n = -7n Combine like terms: 27 + -2 = 25 25 + 3n + -9n = -7n Combine like terms: 3n + -9n = -6n 25 + -6n = -7n Solving 25 + -6n = -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 25 + -6n + 7n = -7n + 7n Combine like terms: -6n + 7n = 1n 25 + 1n = -7n + 7n Combine like terms: -7n + 7n = 0 25 + 1n = 0 Add '-25' to each side of the equation. 25 + -25 + 1n = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 1n = 0 + -25 1n = 0 + -25 Combine like terms: 0 + -25 = -25 1n = -25 Divide each side by '1'. n = -25 Simplifying n = -25
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