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Simplifying 26 + 4n = 7(n + 7) + -8 Reorder the terms: 26 + 4n = 7(7 + n) + -8 26 + 4n = (7 * 7 + n * 7) + -8 26 + 4n = (49 + 7n) + -8 Reorder the terms: 26 + 4n = 49 + -8 + 7n Combine like terms: 49 + -8 = 41 26 + 4n = 41 + 7n Solving 26 + 4n = 41 + 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. 26 + 4n + -7n = 41 + 7n + -7n Combine like terms: 4n + -7n = -3n 26 + -3n = 41 + 7n + -7n Combine like terms: 7n + -7n = 0 26 + -3n = 41 + 0 26 + -3n = 41 Add '-26' to each side of the equation. 26 + -26 + -3n = 41 + -26 Combine like terms: 26 + -26 = 0 0 + -3n = 41 + -26 -3n = 41 + -26 Combine like terms: 41 + -26 = 15 -3n = 15 Divide each side by '-3'. n = -5 Simplifying n = -5
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