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Simplifying 7(n + -2) = 2n + 11 Reorder the terms: 7(-2 + n) = 2n + 11 (-2 * 7 + n * 7) = 2n + 11 (-14 + 7n) = 2n + 11 Reorder the terms: -14 + 7n = 11 + 2n Solving -14 + 7n = 11 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -14 + 7n + -2n = 11 + 2n + -2n Combine like terms: 7n + -2n = 5n -14 + 5n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 -14 + 5n = 11 + 0 -14 + 5n = 11 Add '14' to each side of the equation. -14 + 14 + 5n = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 5n = 11 + 14 5n = 11 + 14 Combine like terms: 11 + 14 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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