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Simplifying 24 + 7n = 6(7n + 4) Reorder the terms: 24 + 7n = 6(4 + 7n) 24 + 7n = (4 * 6 + 7n * 6) 24 + 7n = (24 + 42n) Add '-24' to each side of the equation. 24 + -24 + 7n = 24 + -24 + 42n Combine like terms: 24 + -24 = 0 0 + 7n = 24 + -24 + 42n 7n = 24 + -24 + 42n Combine like terms: 24 + -24 = 0 7n = 0 + 42n 7n = 42n Solving 7n = 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 7n + -42n = 42n + -42n Combine like terms: 7n + -42n = -35n -35n = 42n + -42n Combine like terms: 42n + -42n = 0 -35n = 0 Divide each side by '-35'. n = 0 Simplifying n = 0
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