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Simplifying 7 + -1(4n + -4) = 9 + -5n Reorder the terms: 7 + -1(-4 + 4n) = 9 + -5n 7 + (-4 * -1 + 4n * -1) = 9 + -5n 7 + (4 + -4n) = 9 + -5n Combine like terms: 7 + 4 = 11 11 + -4n = 9 + -5n Solving 11 + -4n = 9 + -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. 11 + -4n + 5n = 9 + -5n + 5n Combine like terms: -4n + 5n = 1n 11 + 1n = 9 + -5n + 5n Combine like terms: -5n + 5n = 0 11 + 1n = 9 + 0 11 + 1n = 9 Add '-11' to each side of the equation. 11 + -11 + 1n = 9 + -11 Combine like terms: 11 + -11 = 0 0 + 1n = 9 + -11 1n = 9 + -11 Combine like terms: 9 + -11 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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