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Simplifying 6(7n + -4) + -1 = 12 + 5n Reorder the terms: 6(-4 + 7n) + -1 = 12 + 5n (-4 * 6 + 7n * 6) + -1 = 12 + 5n (-24 + 42n) + -1 = 12 + 5n Reorder the terms: -24 + -1 + 42n = 12 + 5n Combine like terms: -24 + -1 = -25 -25 + 42n = 12 + 5n Solving -25 + 42n = 12 + 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. -25 + 42n + -5n = 12 + 5n + -5n Combine like terms: 42n + -5n = 37n -25 + 37n = 12 + 5n + -5n Combine like terms: 5n + -5n = 0 -25 + 37n = 12 + 0 -25 + 37n = 12 Add '25' to each side of the equation. -25 + 25 + 37n = 12 + 25 Combine like terms: -25 + 25 = 0 0 + 37n = 12 + 25 37n = 12 + 25 Combine like terms: 12 + 25 = 37 37n = 37 Divide each side by '37'. n = 1 Simplifying n = 1
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