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Simplifying 1 + -3(n + 5) = 8 Reorder the terms: 1 + -3(5 + n) = 8 1 + (5 * -3 + n * -3) = 8 1 + (-15 + -3n) = 8 Combine like terms: 1 + -15 = -14 -14 + -3n = 8 Solving -14 + -3n = 8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3n = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -3n = 8 + 14 -3n = 8 + 14 Combine like terms: 8 + 14 = 22 -3n = 22 Divide each side by '-3'. n = -7.333333333 Simplifying n = -7.333333333
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