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Simplifying 7(n + -2) + -6 = 2n + 8 + n Reorder the terms: 7(-2 + n) + -6 = 2n + 8 + n (-2 * 7 + n * 7) + -6 = 2n + 8 + n (-14 + 7n) + -6 = 2n + 8 + n Reorder the terms: -14 + -6 + 7n = 2n + 8 + n Combine like terms: -14 + -6 = -20 -20 + 7n = 2n + 8 + n Reorder the terms: -20 + 7n = 8 + 2n + n Combine like terms: 2n + n = 3n -20 + 7n = 8 + 3n Solving -20 + 7n = 8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -20 + 7n + -3n = 8 + 3n + -3n Combine like terms: 7n + -3n = 4n -20 + 4n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -20 + 4n = 8 + 0 -20 + 4n = 8 Add '20' to each side of the equation. -20 + 20 + 4n = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 4n = 8 + 20 4n = 8 + 20 Combine like terms: 8 + 20 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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