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Simplifying -5n + -4(-7 + -4n) = 46 + 7n -5n + (-7 * -4 + -4n * -4) = 46 + 7n -5n + (28 + 16n) = 46 + 7n Reorder the terms: 28 + -5n + 16n = 46 + 7n Combine like terms: -5n + 16n = 11n 28 + 11n = 46 + 7n Solving 28 + 11n = 46 + 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. 28 + 11n + -7n = 46 + 7n + -7n Combine like terms: 11n + -7n = 4n 28 + 4n = 46 + 7n + -7n Combine like terms: 7n + -7n = 0 28 + 4n = 46 + 0 28 + 4n = 46 Add '-28' to each side of the equation. 28 + -28 + 4n = 46 + -28 Combine like terms: 28 + -28 = 0 0 + 4n = 46 + -28 4n = 46 + -28 Combine like terms: 46 + -28 = 18 4n = 18 Divide each side by '4'. n = 4.5 Simplifying n = 4.5
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