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Simplifying 9 + 3n + -6 = 9n + 10 + -5n Reorder the terms: 9 + -6 + 3n = 9n + 10 + -5n Combine like terms: 9 + -6 = 3 3 + 3n = 9n + 10 + -5n Reorder the terms: 3 + 3n = 10 + 9n + -5n Combine like terms: 9n + -5n = 4n 3 + 3n = 10 + 4n Solving 3 + 3n = 10 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + 3n + -4n = 10 + 4n + -4n Combine like terms: 3n + -4n = -1n 3 + -1n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -1n = 10 + 0 3 + -1n = 10 Add '-3' to each side of the equation. 3 + -3 + -1n = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 10 + -3 -1n = 10 + -3 Combine like terms: 10 + -3 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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