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Simplifying 4n + 9 = 7n + -6 Reorder the terms: 9 + 4n = 7n + -6 Reorder the terms: 9 + 4n = -6 + 7n Solving 9 + 4n = -6 + 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. 9 + 4n + -7n = -6 + 7n + -7n Combine like terms: 4n + -7n = -3n 9 + -3n = -6 + 7n + -7n Combine like terms: 7n + -7n = 0 9 + -3n = -6 + 0 9 + -3n = -6 Add '-9' to each side of the equation. 9 + -9 + -3n = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3n = -6 + -9 -3n = -6 + -9 Combine like terms: -6 + -9 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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