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Simplifying -5n + -24 = -6(4 + 7n) Reorder the terms: -24 + -5n = -6(4 + 7n) -24 + -5n = (4 * -6 + 7n * -6) -24 + -5n = (-24 + -42n) Add '24' to each side of the equation. -24 + 24 + -5n = -24 + 24 + -42n Combine like terms: -24 + 24 = 0 0 + -5n = -24 + 24 + -42n -5n = -24 + 24 + -42n Combine like terms: -24 + 24 = 0 -5n = 0 + -42n -5n = -42n Solving -5n = -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. -5n + 42n = -42n + 42n Combine like terms: -5n + 42n = 37n 37n = -42n + 42n Combine like terms: -42n + 42n = 0 37n = 0 Divide each side by '37'. n = 0 Simplifying n = 0
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