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Simplifying -5(2 + -1n) + 7n = 23 + 1 (2 * -5 + -1n * -5) + 7n = 23 + 1 (-10 + 5n) + 7n = 23 + 1 Combine like terms: 5n + 7n = 12n -10 + 12n = 23 + 1 Combine like terms: 23 + 1 = 24 -10 + 12n = 24 Solving -10 + 12n = 24 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 12n = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 12n = 24 + 10 12n = 24 + 10 Combine like terms: 24 + 10 = 34 12n = 34 Divide each side by '12'. n = 2.833333333 Simplifying n = 2.833333333
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