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Simplifying -7(3n + -6) = -23 + -8n Reorder the terms: -7(-6 + 3n) = -23 + -8n (-6 * -7 + 3n * -7) = -23 + -8n (42 + -21n) = -23 + -8n Solving 42 + -21n = -23 + -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 = -23 + -8n + 8n Combine like terms: -21n + 8n = -13n 42 + -13n = -23 + -8n + 8n Combine like terms: -8n + 8n = 0 42 + -13n = -23 + 0 42 + -13n = -23 Add '-42' to each side of the equation. 42 + -42 + -13n = -23 + -42 Combine like terms: 42 + -42 = 0 0 + -13n = -23 + -42 -13n = -23 + -42 Combine like terms: -23 + -42 = -65 -13n = -65 Divide each side by '-13'. n = 5 Simplifying n = 5
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