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Simplifying -1(4n + -8) + -7 = -6 + 5n Reorder the terms: -1(-8 + 4n) + -7 = -6 + 5n (-8 * -1 + 4n * -1) + -7 = -6 + 5n (8 + -4n) + -7 = -6 + 5n Reorder the terms: 8 + -7 + -4n = -6 + 5n Combine like terms: 8 + -7 = 1 1 + -4n = -6 + 5n Solving 1 + -4n = -6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 1 + -4n + -5n = -6 + 5n + -5n Combine like terms: -4n + -5n = -9n 1 + -9n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + -9n = -6 + 0 1 + -9n = -6 Add '-1' to each side of the equation. 1 + -1 + -9n = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -9n = -6 + -1 -9n = -6 + -1 Combine like terms: -6 + -1 = -7 -9n = -7 Divide each side by '-9'. n = 0.7777777778 Simplifying n = 0.7777777778
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