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Simplifying -7(-4n + -6) = -38 + 8n Reorder the terms: -7(-6 + -4n) = -38 + 8n (-6 * -7 + -4n * -7) = -38 + 8n (42 + 28n) = -38 + 8n Solving 42 + 28n = -38 + 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. 42 + 28n + -8n = -38 + 8n + -8n Combine like terms: 28n + -8n = 20n 42 + 20n = -38 + 8n + -8n Combine like terms: 8n + -8n = 0 42 + 20n = -38 + 0 42 + 20n = -38 Add '-42' to each side of the equation. 42 + -42 + 20n = -38 + -42 Combine like terms: 42 + -42 = 0 0 + 20n = -38 + -42 20n = -38 + -42 Combine like terms: -38 + -42 = -80 20n = -80 Divide each side by '20'. n = -4 Simplifying n = -4
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