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Simplifying -5n + -7(-7 + -4n) = 36 + 7n -5n + (-7 * -7 + -4n * -7) = 36 + 7n -5n + (49 + 28n) = 36 + 7n Reorder the terms: 49 + -5n + 28n = 36 + 7n Combine like terms: -5n + 28n = 23n 49 + 23n = 36 + 7n Solving 49 + 23n = 36 + 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. 49 + 23n + -7n = 36 + 7n + -7n Combine like terms: 23n + -7n = 16n 49 + 16n = 36 + 7n + -7n Combine like terms: 7n + -7n = 0 49 + 16n = 36 + 0 49 + 16n = 36 Add '-49' to each side of the equation. 49 + -49 + 16n = 36 + -49 Combine like terms: 49 + -49 = 0 0 + 16n = 36 + -49 16n = 36 + -49 Combine like terms: 36 + -49 = -13 16n = -13 Divide each side by '16'. n = -0.8125 Simplifying n = -0.8125
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