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Simplifying 13 + 8n = 5(7 + 6n) 13 + 8n = (7 * 5 + 6n * 5) 13 + 8n = (35 + 30n) Solving 13 + 8n = 35 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 13 + 8n + -30n = 35 + 30n + -30n Combine like terms: 8n + -30n = -22n 13 + -22n = 35 + 30n + -30n Combine like terms: 30n + -30n = 0 13 + -22n = 35 + 0 13 + -22n = 35 Add '-13' to each side of the equation. 13 + -13 + -22n = 35 + -13 Combine like terms: 13 + -13 = 0 0 + -22n = 35 + -13 -22n = 35 + -13 Combine like terms: 35 + -13 = 22 -22n = 22 Divide each side by '-22'. n = -1 Simplifying n = -1
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