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Simplifying 7 + 2n = 7n + 9 + -2n Reorder the terms: 7 + 2n = 9 + 7n + -2n Combine like terms: 7n + -2n = 5n 7 + 2n = 9 + 5n Solving 7 + 2n = 9 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 7 + 2n + -5n = 9 + 5n + -5n Combine like terms: 2n + -5n = -3n 7 + -3n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 7 + -3n = 9 + 0 7 + -3n = 9 Add '-7' to each side of the equation. 7 + -7 + -3n = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = 9 + -7 -3n = 9 + -7 Combine like terms: 9 + -7 = 2 -3n = 2 Divide each side by '-3'. n = -0.6666666667 Simplifying n = -0.6666666667
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