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Simplifying 49 + 7n = 7(1 + 4n) 49 + 7n = (1 * 7 + 4n * 7) 49 + 7n = (7 + 28n) Solving 49 + 7n = 7 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 49 + 7n + -28n = 7 + 28n + -28n Combine like terms: 7n + -28n = -21n 49 + -21n = 7 + 28n + -28n Combine like terms: 28n + -28n = 0 49 + -21n = 7 + 0 49 + -21n = 7 Add '-49' to each side of the equation. 49 + -49 + -21n = 7 + -49 Combine like terms: 49 + -49 = 0 0 + -21n = 7 + -49 -21n = 7 + -49 Combine like terms: 7 + -49 = -42 -21n = -42 Divide each side by '-21'. n = 2 Simplifying n = 2
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