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Simplifying 6(-6 + 7n) = 38 + 5n (-6 * 6 + 7n * 6) = 38 + 5n (-36 + 42n) = 38 + 5n Solving -36 + 42n = 38 + 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. -36 + 42n + -5n = 38 + 5n + -5n Combine like terms: 42n + -5n = 37n -36 + 37n = 38 + 5n + -5n Combine like terms: 5n + -5n = 0 -36 + 37n = 38 + 0 -36 + 37n = 38 Add '36' to each side of the equation. -36 + 36 + 37n = 38 + 36 Combine like terms: -36 + 36 = 0 0 + 37n = 38 + 36 37n = 38 + 36 Combine like terms: 38 + 36 = 74 37n = 74 Divide each side by '37'. n = 2 Simplifying n = 2
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