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Simplifying -138 = -6(8n + 7) Reorder the terms: -138 = -6(7 + 8n) -138 = (7 * -6 + 8n * -6) -138 = (-42 + -48n) Solving -138 = -42 + -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. -138 + 48n = -42 + -48n + 48n Combine like terms: -48n + 48n = 0 -138 + 48n = -42 + 0 -138 + 48n = -42 Add '138' to each side of the equation. -138 + 138 + 48n = -42 + 138 Combine like terms: -138 + 138 = 0 0 + 48n = -42 + 138 48n = -42 + 138 Combine like terms: -42 + 138 = 96 48n = 96 Divide each side by '48'. n = 2 Simplifying n = 2
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