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Simplifying 3 + 5n + -2 = 9n + 10 + -3n Reorder the terms: 3 + -2 + 5n = 9n + 10 + -3n Combine like terms: 3 + -2 = 1 1 + 5n = 9n + 10 + -3n Reorder the terms: 1 + 5n = 10 + 9n + -3n Combine like terms: 9n + -3n = 6n 1 + 5n = 10 + 6n Solving 1 + 5n = 10 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 1 + 5n + -6n = 10 + 6n + -6n Combine like terms: 5n + -6n = -1n 1 + -1n = 10 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + -1n = 10 + 0 1 + -1n = 10 Add '-1' to each side of the equation. 1 + -1 + -1n = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 10 + -1 -1n = 10 + -1 Combine like terms: 10 + -1 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9
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