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Simplifying 6(n + 4) + 1 = 9n + 4 Reorder the terms: 6(4 + n) + 1 = 9n + 4 (4 * 6 + n * 6) + 1 = 9n + 4 (24 + 6n) + 1 = 9n + 4 Reorder the terms: 24 + 1 + 6n = 9n + 4 Combine like terms: 24 + 1 = 25 25 + 6n = 9n + 4 Reorder the terms: 25 + 6n = 4 + 9n Solving 25 + 6n = 4 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 25 + 6n + -9n = 4 + 9n + -9n Combine like terms: 6n + -9n = -3n 25 + -3n = 4 + 9n + -9n Combine like terms: 9n + -9n = 0 25 + -3n = 4 + 0 25 + -3n = 4 Add '-25' to each side of the equation. 25 + -25 + -3n = 4 + -25 Combine like terms: 25 + -25 = 0 0 + -3n = 4 + -25 -3n = 4 + -25 Combine like terms: 4 + -25 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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