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Simplifying -5(2 + -1n) + 7n = 23n + 1 (2 * -5 + -1n * -5) + 7n = 23n + 1 (-10 + 5n) + 7n = 23n + 1 Combine like terms: 5n + 7n = 12n -10 + 12n = 23n + 1 Reorder the terms: -10 + 12n = 1 + 23n Solving -10 + 12n = 1 + 23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23n' to each side of the equation. -10 + 12n + -23n = 1 + 23n + -23n Combine like terms: 12n + -23n = -11n -10 + -11n = 1 + 23n + -23n Combine like terms: 23n + -23n = 0 -10 + -11n = 1 + 0 -10 + -11n = 1 Add '10' to each side of the equation. -10 + 10 + -11n = 1 + 10 Combine like terms: -10 + 10 = 0 0 + -11n = 1 + 10 -11n = 1 + 10 Combine like terms: 1 + 10 = 11 -11n = 11 Divide each side by '-11'. n = -1 Simplifying n = -1
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