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Simplifying -8 = 1 + -3(n + 5) Reorder the terms: -8 = 1 + -3(5 + n) -8 = 1 + (5 * -3 + n * -3) -8 = 1 + (-15 + -3n) Combine like terms: 1 + -15 = -14 -8 = -14 + -3n Solving -8 = -14 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -8 + 3n = -14 + -3n + 3n Combine like terms: -3n + 3n = 0 -8 + 3n = -14 + 0 -8 + 3n = -14 Add '8' to each side of the equation. -8 + 8 + 3n = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = -14 + 8 3n = -14 + 8 Combine like terms: -14 + 8 = -6 3n = -6 Divide each side by '3'. n = -2 Simplifying n = -2
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