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Simplifying -8(1 + -5n) + 7 = -38 + 3n (1 * -8 + -5n * -8) + 7 = -38 + 3n (-8 + 40n) + 7 = -38 + 3n Reorder the terms: -8 + 7 + 40n = -38 + 3n Combine like terms: -8 + 7 = -1 -1 + 40n = -38 + 3n Solving -1 + 40n = -38 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -1 + 40n + -3n = -38 + 3n + -3n Combine like terms: 40n + -3n = 37n -1 + 37n = -38 + 3n + -3n Combine like terms: 3n + -3n = 0 -1 + 37n = -38 + 0 -1 + 37n = -38 Add '1' to each side of the equation. -1 + 1 + 37n = -38 + 1 Combine like terms: -1 + 1 = 0 0 + 37n = -38 + 1 37n = -38 + 1 Combine like terms: -38 + 1 = -37 37n = -37 Divide each side by '37'. n = -1 Simplifying n = -1
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