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Simplifying -5n + -4(7 + -4n) + 36 = 7n -5n + (7 * -4 + -4n * -4) + 36 = 7n -5n + (-28 + 16n) + 36 = 7n Reorder the terms: -28 + 36 + -5n + 16n = 7n Combine like terms: -28 + 36 = 8 8 + -5n + 16n = 7n Combine like terms: -5n + 16n = 11n 8 + 11n = 7n Solving 8 + 11n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 8 + 11n + -7n = 7n + -7n Combine like terms: 11n + -7n = 4n 8 + 4n = 7n + -7n Combine like terms: 7n + -7n = 0 8 + 4n = 0 Add '-8' to each side of the equation. 8 + -8 + 4n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4n = 0 + -8 4n = 0 + -8 Combine like terms: 0 + -8 = -8 4n = -8 Divide each side by '4'. n = -2 Simplifying n = -2
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