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Simplifying 7 + -1(3n + -7) = 4 + -4n Reorder the terms: 7 + -1(-7 + 3n) = 4 + -4n 7 + (-7 * -1 + 3n * -1) = 4 + -4n 7 + (7 + -3n) = 4 + -4n Combine like terms: 7 + 7 = 14 14 + -3n = 4 + -4n Solving 14 + -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. 14 + -3n + 4n = 4 + -4n + 4n Combine like terms: -3n + 4n = 1n 14 + 1n = 4 + -4n + 4n Combine like terms: -4n + 4n = 0 14 + 1n = 4 + 0 14 + 1n = 4 Add '-14' to each side of the equation. 14 + -14 + 1n = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 4 + -14 1n = 4 + -14 Combine like terms: 4 + -14 = -10 1n = -10 Divide each side by '1'. n = -10 Simplifying n = -10
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