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Simplifying 7 + -1(4n + -9) = 5 + -5n Reorder the terms: 7 + -1(-9 + 4n) = 5 + -5n 7 + (-9 * -1 + 4n * -1) = 5 + -5n 7 + (9 + -4n) = 5 + -5n Combine like terms: 7 + 9 = 16 16 + -4n = 5 + -5n Solving 16 + -4n = 5 + -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. 16 + -4n + 5n = 5 + -5n + 5n Combine like terms: -4n + 5n = 1n 16 + 1n = 5 + -5n + 5n Combine like terms: -5n + 5n = 0 16 + 1n = 5 + 0 16 + 1n = 5 Add '-16' to each side of the equation. 16 + -16 + 1n = 5 + -16 Combine like terms: 16 + -16 = 0 0 + 1n = 5 + -16 1n = 5 + -16 Combine like terms: 5 + -16 = -11 1n = -11 Divide each side by '1'. n = -11 Simplifying n = -11
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