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Simplifying 8n + 8(n + 5) = -7n + 17 Reorder the terms: 8n + 8(5 + n) = -7n + 17 8n + (5 * 8 + n * 8) = -7n + 17 8n + (40 + 8n) = -7n + 17 Reorder the terms: 40 + 8n + 8n = -7n + 17 Combine like terms: 8n + 8n = 16n 40 + 16n = -7n + 17 Reorder the terms: 40 + 16n = 17 + -7n Solving 40 + 16n = 17 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 40 + 16n + 7n = 17 + -7n + 7n Combine like terms: 16n + 7n = 23n 40 + 23n = 17 + -7n + 7n Combine like terms: -7n + 7n = 0 40 + 23n = 17 + 0 40 + 23n = 17 Add '-40' to each side of the equation. 40 + -40 + 23n = 17 + -40 Combine like terms: 40 + -40 = 0 0 + 23n = 17 + -40 23n = 17 + -40 Combine like terms: 17 + -40 = -23 23n = -23 Divide each side by '23'. n = -1 Simplifying n = -1
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