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Simplifying 7(1 + 4n) = 7 + 6n (1 * 7 + 4n * 7) = 7 + 6n (7 + 28n) = 7 + 6n Add '-7' to each side of the equation. 7 + -7 + 28n = 7 + -7 + 6n Combine like terms: 7 + -7 = 0 0 + 28n = 7 + -7 + 6n 28n = 7 + -7 + 6n Combine like terms: 7 + -7 = 0 28n = 0 + 6n 28n = 6n Solving 28n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 28n + -6n = 6n + -6n Combine like terms: 28n + -6n = 22n 22n = 6n + -6n Combine like terms: 6n + -6n = 0 22n = 0 Divide each side by '22'. n = 0 Simplifying n = 0
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