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Simplifying -4(7n + 6) = 19 + 8n Reorder the terms: -4(6 + 7n) = 19 + 8n (6 * -4 + 7n * -4) = 19 + 8n (-24 + -28n) = 19 + 8n Solving -24 + -28n = 19 + 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. -24 + -28n + -8n = 19 + 8n + -8n Combine like terms: -28n + -8n = -36n -24 + -36n = 19 + 8n + -8n Combine like terms: 8n + -8n = 0 -24 + -36n = 19 + 0 -24 + -36n = 19 Add '24' to each side of the equation. -24 + 24 + -36n = 19 + 24 Combine like terms: -24 + 24 = 0 0 + -36n = 19 + 24 -36n = 19 + 24 Combine like terms: 19 + 24 = 43 -36n = 43 Divide each side by '-36'. n = -1.194444444 Simplifying n = -1.194444444
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