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Simplifying -4n + 7(5n + 1) = -18 + 6n Reorder the terms: -4n + 7(1 + 5n) = -18 + 6n -4n + (1 * 7 + 5n * 7) = -18 + 6n -4n + (7 + 35n) = -18 + 6n Reorder the terms: 7 + -4n + 35n = -18 + 6n Combine like terms: -4n + 35n = 31n 7 + 31n = -18 + 6n Solving 7 + 31n = -18 + 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. 7 + 31n + -6n = -18 + 6n + -6n Combine like terms: 31n + -6n = 25n 7 + 25n = -18 + 6n + -6n Combine like terms: 6n + -6n = 0 7 + 25n = -18 + 0 7 + 25n = -18 Add '-7' to each side of the equation. 7 + -7 + 25n = -18 + -7 Combine like terms: 7 + -7 = 0 0 + 25n = -18 + -7 25n = -18 + -7 Combine like terms: -18 + -7 = -25 25n = -25 Divide each side by '25'. n = -1 Simplifying n = -1
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