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Simplifying -6(8n + -6) = 36 + 3n Reorder the terms: -6(-6 + 8n) = 36 + 3n (-6 * -6 + 8n * -6) = 36 + 3n (36 + -48n) = 36 + 3n Add '-36' to each side of the equation. 36 + -36 + -48n = 36 + -36 + 3n Combine like terms: 36 + -36 = 0 0 + -48n = 36 + -36 + 3n -48n = 36 + -36 + 3n Combine like terms: 36 + -36 = 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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