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Simplifying 7 + 4n + -6 = 9n + 13 + -2n Reorder the terms: 7 + -6 + 4n = 9n + 13 + -2n Combine like terms: 7 + -6 = 1 1 + 4n = 9n + 13 + -2n Reorder the terms: 1 + 4n = 13 + 9n + -2n Combine like terms: 9n + -2n = 7n 1 + 4n = 13 + 7n Solving 1 + 4n = 13 + 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. 1 + 4n + -7n = 13 + 7n + -7n Combine like terms: 4n + -7n = -3n 1 + -3n = 13 + 7n + -7n Combine like terms: 7n + -7n = 0 1 + -3n = 13 + 0 1 + -3n = 13 Add '-1' to each side of the equation. 1 + -1 + -3n = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = 13 + -1 -3n = 13 + -1 Combine like terms: 13 + -1 = 12 -3n = 12 Divide each side by '-3'. n = -4 Simplifying n = -4
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