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Simplifying 7 + 3n + -5 = 7n + 4 + -2n Reorder the terms: 7 + -5 + 3n = 7n + 4 + -2n Combine like terms: 7 + -5 = 2 2 + 3n = 7n + 4 + -2n Reorder the terms: 2 + 3n = 4 + 7n + -2n Combine like terms: 7n + -2n = 5n 2 + 3n = 4 + 5n Solving 2 + 3n = 4 + 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. 2 + 3n + -5n = 4 + 5n + -5n Combine like terms: 3n + -5n = -2n 2 + -2n = 4 + 5n + -5n Combine like terms: 5n + -5n = 0 2 + -2n = 4 + 0 2 + -2n = 4 Add '-2' to each side of the equation. 2 + -2 + -2n = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = 4 + -2 -2n = 4 + -2 Combine like terms: 4 + -2 = 2 -2n = 2 Divide each side by '-2'. n = -1 Simplifying n = -1
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