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Simplifying 18 + -1(n + 9) = 3n + 13 + -2n Reorder the terms: 18 + -1(9 + n) = 3n + 13 + -2n 18 + (9 * -1 + n * -1) = 3n + 13 + -2n 18 + (-9 + -1n) = 3n + 13 + -2n Combine like terms: 18 + -9 = 9 9 + -1n = 3n + 13 + -2n Reorder the terms: 9 + -1n = 13 + 3n + -2n Combine like terms: 3n + -2n = 1n 9 + -1n = 13 + 1n Solving 9 + -1n = 13 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 9 + -1n + -1n = 13 + 1n + -1n Combine like terms: -1n + -1n = -2n 9 + -2n = 13 + 1n + -1n Combine like terms: 1n + -1n = 0 9 + -2n = 13 + 0 9 + -2n = 13 Add '-9' to each side of the equation. 9 + -9 + -2n = 13 + -9 Combine like terms: 9 + -9 = 0 0 + -2n = 13 + -9 -2n = 13 + -9 Combine like terms: 13 + -9 = 4 -2n = 4 Divide each side by '-2'. n = -2 Simplifying n = -2
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