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Simplifying -8n + 13 = 5 + 8(n + 7) Reorder the terms: 13 + -8n = 5 + 8(n + 7) Reorder the terms: 13 + -8n = 5 + 8(7 + n) 13 + -8n = 5 + (7 * 8 + n * 8) 13 + -8n = 5 + (56 + 8n) Combine like terms: 5 + 56 = 61 13 + -8n = 61 + 8n Solving 13 + -8n = 61 + 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. 13 + -8n + -8n = 61 + 8n + -8n Combine like terms: -8n + -8n = -16n 13 + -16n = 61 + 8n + -8n Combine like terms: 8n + -8n = 0 13 + -16n = 61 + 0 13 + -16n = 61 Add '-13' to each side of the equation. 13 + -13 + -16n = 61 + -13 Combine like terms: 13 + -13 = 0 0 + -16n = 61 + -13 -16n = 61 + -13 Combine like terms: 61 + -13 = 48 -16n = 48 Divide each side by '-16'. n = -3 Simplifying n = -3
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