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Simplifying 4 + 7n = 6(-4n + 5) Reorder the terms: 4 + 7n = 6(5 + -4n) 4 + 7n = (5 * 6 + -4n * 6) 4 + 7n = (30 + -24n) Solving 4 + 7n = 30 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 4 + 7n + 24n = 30 + -24n + 24n Combine like terms: 7n + 24n = 31n 4 + 31n = 30 + -24n + 24n Combine like terms: -24n + 24n = 0 4 + 31n = 30 + 0 4 + 31n = 30 Add '-4' to each side of the equation. 4 + -4 + 31n = 30 + -4 Combine like terms: 4 + -4 = 0 0 + 31n = 30 + -4 31n = 30 + -4 Combine like terms: 30 + -4 = 26 31n = 26 Divide each side by '31'. n = 0.8387096774 Simplifying n = 0.8387096774
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