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Simplifying 6(4 + -7n) + 4n = 24 + -6n (4 * 6 + -7n * 6) + 4n = 24 + -6n (24 + -42n) + 4n = 24 + -6n Combine like terms: -42n + 4n = -38n 24 + -38n = 24 + -6n Add '-24' to each side of the equation. 24 + -24 + -38n = 24 + -24 + -6n Combine like terms: 24 + -24 = 0 0 + -38n = 24 + -24 + -6n -38n = 24 + -24 + -6n Combine like terms: 24 + -24 = 0 -38n = 0 + -6n -38n = -6n Solving -38n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -38n + 6n = -6n + 6n Combine like terms: -38n + 6n = -32n -32n = -6n + 6n Combine like terms: -6n + 6n = 0 -32n = 0 Divide each side by '-32'. n = 0 Simplifying n = 0
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