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