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Simplifying 7 + -1(3n + -8) = 1 + -4n Reorder the terms: 7 + -1(-8 + 3n) = 1 + -4n 7 + (-8 * -1 + 3n * -1) = 1 + -4n 7 + (8 + -3n) = 1 + -4n Combine like terms: 7 + 8 = 15 15 + -3n = 1 + -4n Solving 15 + -3n = 1 + -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. 15 + -3n + 4n = 1 + -4n + 4n Combine like terms: -3n + 4n = 1n 15 + 1n = 1 + -4n + 4n Combine like terms: -4n + 4n = 0 15 + 1n = 1 + 0 15 + 1n = 1 Add '-15' to each side of the equation. 15 + -15 + 1n = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 1n = 1 + -15 1n = 1 + -15 Combine like terms: 1 + -15 = -14 1n = -14 Divide each side by '1'. n = -14 Simplifying n = -14
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