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Simplifying 6(2n + 7) = 7n + 6 Reorder the terms: 6(7 + 2n) = 7n + 6 (7 * 6 + 2n * 6) = 7n + 6 (42 + 12n) = 7n + 6 Reorder the terms: 42 + 12n = 6 + 7n Solving 42 + 12n = 6 + 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. 42 + 12n + -7n = 6 + 7n + -7n Combine like terms: 12n + -7n = 5n 42 + 5n = 6 + 7n + -7n Combine like terms: 7n + -7n = 0 42 + 5n = 6 + 0 42 + 5n = 6 Add '-42' to each side of the equation. 42 + -42 + 5n = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 5n = 6 + -42 5n = 6 + -42 Combine like terms: 6 + -42 = -36 5n = -36 Divide each side by '5'. n = -7.2 Simplifying n = -7.2
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