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Simplifying -102 = -6(8n + 1) Reorder the terms: -102 = -6(1 + 8n) -102 = (1 * -6 + 8n * -6) -102 = (-6 + -48n) Solving -102 = -6 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. -102 + 48n = -6 + -48n + 48n Combine like terms: -48n + 48n = 0 -102 + 48n = -6 + 0 -102 + 48n = -6 Add '102' to each side of the equation. -102 + 102 + 48n = -6 + 102 Combine like terms: -102 + 102 = 0 0 + 48n = -6 + 102 48n = -6 + 102 Combine like terms: -6 + 102 = 96 48n = 96 Divide each side by '48'. n = 2 Simplifying n = 2
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