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Simplifying 6n + 12 = n + 52 Reorder the terms: 12 + 6n = n + 52 Reorder the terms: 12 + 6n = 52 + n Solving 12 + 6n = 52 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + 6n + -1n = 52 + n + -1n Combine like terms: 6n + -1n = 5n 12 + 5n = 52 + n + -1n Combine like terms: n + -1n = 0 12 + 5n = 52 + 0 12 + 5n = 52 Add '-12' to each side of the equation. 12 + -12 + 5n = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 5n = 52 + -12 5n = 52 + -12 Combine like terms: 52 + -12 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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