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Simplifying -8 + -6(1 + 8n) = 3n + -14 -8 + (1 * -6 + 8n * -6) = 3n + -14 -8 + (-6 + -48n) = 3n + -14 Combine like terms: -8 + -6 = -14 -14 + -48n = 3n + -14 Reorder the terms: -14 + -48n = -14 + 3n Add '14' to each side of the equation. -14 + 14 + -48n = -14 + 14 + 3n Combine like terms: -14 + 14 = 0 0 + -48n = -14 + 14 + 3n -48n = -14 + 14 + 3n Combine like terms: -14 + 14 = 0 -48n = 0 + 3n -48n = 3n Solving -48n = 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. -48n + -3n = 3n + -3n Combine like terms: -48n + -3n = -51n -51n = 3n + -3n Combine like terms: 3n + -3n = 0 -51n = 0 Divide each side by '-51'. n = 0 Simplifying n = 0
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