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Simplifying 6(6n + -7) = 31 + 2n Reorder the terms: 6(-7 + 6n) = 31 + 2n (-7 * 6 + 6n * 6) = 31 + 2n (-42 + 36n) = 31 + 2n Solving -42 + 36n = 31 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -42 + 36n + -2n = 31 + 2n + -2n Combine like terms: 36n + -2n = 34n -42 + 34n = 31 + 2n + -2n Combine like terms: 2n + -2n = 0 -42 + 34n = 31 + 0 -42 + 34n = 31 Add '42' to each side of the equation. -42 + 42 + 34n = 31 + 42 Combine like terms: -42 + 42 = 0 0 + 34n = 31 + 42 34n = 31 + 42 Combine like terms: 31 + 42 = 73 34n = 73 Divide each side by '34'. n = 2.147058824 Simplifying n = 2.147058824
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