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Simplifying n + 6(-7n + 4) = 24 + -5n Reorder the terms: n + 6(4 + -7n) = 24 + -5n n + (4 * 6 + -7n * 6) = 24 + -5n n + (24 + -42n) = 24 + -5n Reorder the terms: 24 + n + -42n = 24 + -5n Combine like terms: n + -42n = -41n 24 + -41n = 24 + -5n Add '-24' to each side of the equation. 24 + -24 + -41n = 24 + -24 + -5n Combine like terms: 24 + -24 = 0 0 + -41n = 24 + -24 + -5n -41n = 24 + -24 + -5n Combine like terms: 24 + -24 = 0 -41n = 0 + -5n -41n = -5n Solving -41n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -41n + 5n = -5n + 5n Combine like terms: -41n + 5n = -36n -36n = -5n + 5n Combine like terms: -5n + 5n = 0 -36n = 0 Divide each side by '-36'. n = 0 Simplifying n = 0
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