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Simplifying 7n + 4 = 52 + n Reorder the terms: 4 + 7n = 52 + n Solving 4 + 7n = 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. 4 + 7n + -1n = 52 + n + -1n Combine like terms: 7n + -1n = 6n 4 + 6n = 52 + n + -1n Combine like terms: n + -1n = 0 4 + 6n = 52 + 0 4 + 6n = 52 Add '-4' to each side of the equation. 4 + -4 + 6n = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 6n = 52 + -4 6n = 52 + -4 Combine like terms: 52 + -4 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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