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Simplifying 9 + -1(3n + -4) = 7 + -4n Reorder the terms: 9 + -1(-4 + 3n) = 7 + -4n 9 + (-4 * -1 + 3n * -1) = 7 + -4n 9 + (4 + -3n) = 7 + -4n Combine like terms: 9 + 4 = 13 13 + -3n = 7 + -4n Solving 13 + -3n = 7 + -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. 13 + -3n + 4n = 7 + -4n + 4n Combine like terms: -3n + 4n = 1n 13 + 1n = 7 + -4n + 4n Combine like terms: -4n + 4n = 0 13 + 1n = 7 + 0 13 + 1n = 7 Add '-13' to each side of the equation. 13 + -13 + 1n = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 1n = 7 + -13 1n = 7 + -13 Combine like terms: 7 + -13 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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