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Simplifying -6(1 + 8n) + -8n = -6 + 8n (1 * -6 + 8n * -6) + -8n = -6 + 8n (-6 + -48n) + -8n = -6 + 8n Combine like terms: -48n + -8n = -56n -6 + -56n = -6 + 8n Add '6' to each side of the equation. -6 + 6 + -56n = -6 + 6 + 8n Combine like terms: -6 + 6 = 0 0 + -56n = -6 + 6 + 8n -56n = -6 + 6 + 8n Combine like terms: -6 + 6 = 0 -56n = 0 + 8n -56n = 8n Solving -56n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -56n + -8n = 8n + -8n Combine like terms: -56n + -8n = -64n -64n = 8n + -8n Combine like terms: 8n + -8n = 0 -64n = 0 Divide each side by '-64'. n = 0 Simplifying n = 0
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