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Simplifying -7(-4n + -1) = 7 + 7n Reorder the terms: -7(-1 + -4n) = 7 + 7n (-1 * -7 + -4n * -7) = 7 + 7n (7 + 28n) = 7 + 7n Add '-7' to each side of the equation. 7 + -7 + 28n = 7 + -7 + 7n Combine like terms: 7 + -7 = 0 0 + 28n = 7 + -7 + 7n 28n = 7 + -7 + 7n Combine like terms: 7 + -7 = 0 28n = 0 + 7n 28n = 7n Solving 28n = 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. 28n + -7n = 7n + -7n Combine like terms: 28n + -7n = 21n 21n = 7n + -7n Combine like terms: 7n + -7n = 0 21n = 0 Divide each side by '21'. n = 0 Simplifying n = 0
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