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Simplifying 2(3n + 1) = 6 + (7n + 4) + 5 Reorder the terms: 2(1 + 3n) = 6 + (7n + 4) + 5 (1 * 2 + 3n * 2) = 6 + (7n + 4) + 5 (2 + 6n) = 6 + (7n + 4) + 5 Reorder the terms: 2 + 6n = 6 + (4 + 7n) + 5 Remove parenthesis around (4 + 7n) 2 + 6n = 6 + 4 + 7n + 5 Reorder the terms: 2 + 6n = 6 + 4 + 5 + 7n Combine like terms: 6 + 4 = 10 2 + 6n = 10 + 5 + 7n Combine like terms: 10 + 5 = 15 2 + 6n = 15 + 7n Solving 2 + 6n = 15 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 2 + 6n + -7n = 15 + 7n + -7n Combine like terms: 6n + -7n = -1n 2 + -1n = 15 + 7n + -7n Combine like terms: 7n + -7n = 0 2 + -1n = 15 + 0 2 + -1n = 15 Add '-2' to each side of the equation. 2 + -2 + -1n = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 15 + -2 -1n = 15 + -2 Combine like terms: 15 + -2 = 13 -1n = 13 Divide each side by '-1'. n = -13 Simplifying n = -13
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