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Simplifying -1(1 + -5n) + -4(-5n + -2) = -18 (1 * -1 + -5n * -1) + -4(-5n + -2) = -18 (-1 + 5n) + -4(-5n + -2) = -18 Reorder the terms: -1 + 5n + -4(-2 + -5n) = -18 -1 + 5n + (-2 * -4 + -5n * -4) = -18 -1 + 5n + (8 + 20n) = -18 Reorder the terms: -1 + 8 + 5n + 20n = -18 Combine like terms: -1 + 8 = 7 7 + 5n + 20n = -18 Combine like terms: 5n + 20n = 25n 7 + 25n = -18 Solving 7 + 25n = -18 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. 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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