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Simplifying 20 + 7n + -6 = 7(2n + 4) Reorder the terms: 20 + -6 + 7n = 7(2n + 4) Combine like terms: 20 + -6 = 14 14 + 7n = 7(2n + 4) Reorder the terms: 14 + 7n = 7(4 + 2n) 14 + 7n = (4 * 7 + 2n * 7) 14 + 7n = (28 + 14n) Solving 14 + 7n = 28 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 14 + 7n + -14n = 28 + 14n + -14n Combine like terms: 7n + -14n = -7n 14 + -7n = 28 + 14n + -14n Combine like terms: 14n + -14n = 0 14 + -7n = 28 + 0 14 + -7n = 28 Add '-14' to each side of the equation. 14 + -14 + -7n = 28 + -14 Combine like terms: 14 + -14 = 0 0 + -7n = 28 + -14 -7n = 28 + -14 Combine like terms: 28 + -14 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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