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Simplifying 40 + 8n = 7(4n + 1) + -7 Reorder the terms: 40 + 8n = 7(1 + 4n) + -7 40 + 8n = (1 * 7 + 4n * 7) + -7 40 + 8n = (7 + 28n) + -7 Reorder the terms: 40 + 8n = 7 + -7 + 28n Combine like terms: 7 + -7 = 0 40 + 8n = 0 + 28n 40 + 8n = 28n Solving 40 + 8n = 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 40 + 8n + -28n = 28n + -28n Combine like terms: 8n + -28n = -20n 40 + -20n = 28n + -28n Combine like terms: 28n + -28n = 0 40 + -20n = 0 Add '-40' to each side of the equation. 40 + -40 + -20n = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -20n = 0 + -40 -20n = 0 + -40 Combine like terms: 0 + -40 = -40 -20n = -40 Divide each side by '-20'. n = 2 Simplifying n = 2
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