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Simplifying 8n + 12 = 3 + -1n + 18 Reorder the terms: 12 + 8n = 3 + -1n + 18 Reorder the terms: 12 + 8n = 3 + 18 + -1n Combine like terms: 3 + 18 = 21 12 + 8n = 21 + -1n Solving 12 + 8n = 21 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 12 + 8n + n = 21 + -1n + n Combine like terms: 8n + n = 9n 12 + 9n = 21 + -1n + n Combine like terms: -1n + n = 0 12 + 9n = 21 + 0 12 + 9n = 21 Add '-12' to each side of the equation. 12 + -12 + 9n = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 9n = 21 + -12 9n = 21 + -12 Combine like terms: 21 + -12 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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