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Simplifying 12 + 7n = 8(1 + n) 12 + 7n = (1 * 8 + n * 8) 12 + 7n = (8 + 8n) Solving 12 + 7n = 8 + 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. 12 + 7n + -8n = 8 + 8n + -8n Combine like terms: 7n + -8n = -1n 12 + -1n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + -1n = 8 + 0 12 + -1n = 8 Add '-12' to each side of the equation. 12 + -12 + -1n = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 8 + -12 -1n = 8 + -12 Combine like terms: 8 + -12 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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