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Simplifying 7 + -1(3n + -9) = 4 + -4n Reorder the terms: 7 + -1(-9 + 3n) = 4 + -4n 7 + (-9 * -1 + 3n * -1) = 4 + -4n 7 + (9 + -3n) = 4 + -4n Combine like terms: 7 + 9 = 16 16 + -3n = 4 + -4n Solving 16 + -3n = 4 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 16 + -3n + 4n = 4 + -4n + 4n Combine like terms: -3n + 4n = 1n 16 + 1n = 4 + -4n + 4n Combine like terms: -4n + 4n = 0 16 + 1n = 4 + 0 16 + 1n = 4 Add '-16' to each side of the equation. 16 + -16 + 1n = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 1n = 4 + -16 1n = 4 + -16 Combine like terms: 4 + -16 = -12 1n = -12 Divide each side by '1'. n = -12 Simplifying n = -12
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