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Simplifying -7(-7n + -1) = 4n + -38 Reorder the terms: -7(-1 + -7n) = 4n + -38 (-1 * -7 + -7n * -7) = 4n + -38 (7 + 49n) = 4n + -38 Reorder the terms: 7 + 49n = -38 + 4n Solving 7 + 49n = -38 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 7 + 49n + -4n = -38 + 4n + -4n Combine like terms: 49n + -4n = 45n 7 + 45n = -38 + 4n + -4n Combine like terms: 4n + -4n = 0 7 + 45n = -38 + 0 7 + 45n = -38 Add '-7' to each side of the equation. 7 + -7 + 45n = -38 + -7 Combine like terms: 7 + -7 = 0 0 + 45n = -38 + -7 45n = -38 + -7 Combine like terms: -38 + -7 = -45 45n = -45 Divide each side by '45'. n = -1 Simplifying n = -1
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