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Simplifying 23 + -8n = -5(3n + 7) Reorder the terms: 23 + -8n = -5(7 + 3n) 23 + -8n = (7 * -5 + 3n * -5) 23 + -8n = (-35 + -15n) Solving 23 + -8n = -35 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 23 + -8n + 15n = -35 + -15n + 15n Combine like terms: -8n + 15n = 7n 23 + 7n = -35 + -15n + 15n Combine like terms: -15n + 15n = 0 23 + 7n = -35 + 0 23 + 7n = -35 Add '-23' to each side of the equation. 23 + -23 + 7n = -35 + -23 Combine like terms: 23 + -23 = 0 0 + 7n = -35 + -23 7n = -35 + -23 Combine like terms: -35 + -23 = -58 7n = -58 Divide each side by '7'. n = -8.285714286 Simplifying n = -8.285714286
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