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Simplifying 6n + 10 = 55 + n Reorder the terms: 10 + 6n = 55 + n Solving 10 + 6n = 55 + 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. 10 + 6n + -1n = 55 + n + -1n Combine like terms: 6n + -1n = 5n 10 + 5n = 55 + n + -1n Combine like terms: n + -1n = 0 10 + 5n = 55 + 0 10 + 5n = 55 Add '-10' to each side of the equation. 10 + -10 + 5n = 55 + -10 Combine like terms: 10 + -10 = 0 0 + 5n = 55 + -10 5n = 55 + -10 Combine like terms: 55 + -10 = 45 5n = 45 Divide each side by '5'. n = 9 Simplifying n = 9
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