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Simplifying 7(3n + -6) = -16 + 8n Reorder the terms: 7(-6 + 3n) = -16 + 8n (-6 * 7 + 3n * 7) = -16 + 8n (-42 + 21n) = -16 + 8n Solving -42 + 21n = -16 + 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 + 21n + -8n = -16 + 8n + -8n Combine like terms: 21n + -8n = 13n -42 + 13n = -16 + 8n + -8n Combine like terms: 8n + -8n = 0 -42 + 13n = -16 + 0 -42 + 13n = -16 Add '42' to each side of the equation. -42 + 42 + 13n = -16 + 42 Combine like terms: -42 + 42 = 0 0 + 13n = -16 + 42 13n = -16 + 42 Combine like terms: -16 + 42 = 26 13n = 26 Divide each side by '13'. n = 2 Simplifying n = 2
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