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Simplifying n + 45 = -2n + 9 Reorder the terms: 45 + n = -2n + 9 Reorder the terms: 45 + n = 9 + -2n Solving 45 + n = 9 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 45 + n + 2n = 9 + -2n + 2n Combine like terms: n + 2n = 3n 45 + 3n = 9 + -2n + 2n Combine like terms: -2n + 2n = 0 45 + 3n = 9 + 0 45 + 3n = 9 Add '-45' to each side of the equation. 45 + -45 + 3n = 9 + -45 Combine like terms: 45 + -45 = 0 0 + 3n = 9 + -45 3n = 9 + -45 Combine like terms: 9 + -45 = -36 3n = -36 Divide each side by '3'. n = -12 Simplifying n = -12
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