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Simplifying 6n + 4 = 5(n + 1) + 6 Reorder the terms: 4 + 6n = 5(n + 1) + 6 Reorder the terms: 4 + 6n = 5(1 + n) + 6 4 + 6n = (1 * 5 + n * 5) + 6 4 + 6n = (5 + 5n) + 6 Reorder the terms: 4 + 6n = 5 + 6 + 5n Combine like terms: 5 + 6 = 11 4 + 6n = 11 + 5n Solving 4 + 6n = 11 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 4 + 6n + -5n = 11 + 5n + -5n Combine like terms: 6n + -5n = 1n 4 + 1n = 11 + 5n + -5n Combine like terms: 5n + -5n = 0 4 + 1n = 11 + 0 4 + 1n = 11 Add '-4' to each side of the equation. 4 + -4 + 1n = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = 11 + -4 1n = 11 + -4 Combine like terms: 11 + -4 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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