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Simplifying 2(3n + 1) = n + -3 Reorder the terms: 2(1 + 3n) = n + -3 (1 * 2 + 3n * 2) = n + -3 (2 + 6n) = n + -3 Reorder the terms: 2 + 6n = -3 + n Solving 2 + 6n = -3 + 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. 2 + 6n + -1n = -3 + n + -1n Combine like terms: 6n + -1n = 5n 2 + 5n = -3 + n + -1n Combine like terms: n + -1n = 0 2 + 5n = -3 + 0 2 + 5n = -3 Add '-2' to each side of the equation. 2 + -2 + 5n = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = -3 + -2 5n = -3 + -2 Combine like terms: -3 + -2 = -5 5n = -5 Divide each side by '5'. n = -1 Simplifying n = -1
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