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Simplifying -13 + -5n + -2n = 7n + -5n + 12 Combine like terms: -5n + -2n = -7n -13 + -7n = 7n + -5n + 12 Reorder the terms: -13 + -7n = 12 + 7n + -5n Combine like terms: 7n + -5n = 2n -13 + -7n = 12 + 2n Solving -13 + -7n = 12 + 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. -13 + -7n + -2n = 12 + 2n + -2n Combine like terms: -7n + -2n = -9n -13 + -9n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 -13 + -9n = 12 + 0 -13 + -9n = 12 Add '13' to each side of the equation. -13 + 13 + -9n = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -9n = 12 + 13 -9n = 12 + 13 Combine like terms: 12 + 13 = 25 -9n = 25 Divide each side by '-9'. n = -2.777777778 Simplifying n = -2.777777778
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