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Simplifying 2(n + 2) + -1(5n + -9) = -4n Reorder the terms: 2(2 + n) + -1(5n + -9) = -4n (2 * 2 + n * 2) + -1(5n + -9) = -4n (4 + 2n) + -1(5n + -9) = -4n Reorder the terms: 4 + 2n + -1(-9 + 5n) = -4n 4 + 2n + (-9 * -1 + 5n * -1) = -4n 4 + 2n + (9 + -5n) = -4n Reorder the terms: 4 + 9 + 2n + -5n = -4n Combine like terms: 4 + 9 = 13 13 + 2n + -5n = -4n Combine like terms: 2n + -5n = -3n 13 + -3n = -4n Solving 13 + -3n = -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 13 + -3n + 4n = -4n + 4n Combine like terms: -3n + 4n = 1n 13 + 1n = -4n + 4n Combine like terms: -4n + 4n = 0 13 + 1n = 0 Add '-13' to each side of the equation. 13 + -13 + 1n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1n = 0 + -13 1n = 0 + -13 Combine like terms: 0 + -13 = -13 1n = -13 Divide each side by '1'. n = -13 Simplifying n = -13
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