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Simplifying 24 + -1n = -5(3n + -2) Reorder the terms: 24 + -1n = -5(-2 + 3n) 24 + -1n = (-2 * -5 + 3n * -5) 24 + -1n = (10 + -15n) Solving 24 + -1n = 10 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 24 + -1n + 15n = 10 + -15n + 15n Combine like terms: -1n + 15n = 14n 24 + 14n = 10 + -15n + 15n Combine like terms: -15n + 15n = 0 24 + 14n = 10 + 0 24 + 14n = 10 Add '-24' to each side of the equation. 24 + -24 + 14n = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 14n = 10 + -24 14n = 10 + -24 Combine like terms: 10 + -24 = -14 14n = -14 Divide each side by '14'. n = -1 Simplifying n = -1
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