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Simplifying 6(2n + 4) = 6(9n + 8) + 2 Reorder the terms: 6(4 + 2n) = 6(9n + 8) + 2 (4 * 6 + 2n * 6) = 6(9n + 8) + 2 (24 + 12n) = 6(9n + 8) + 2 Reorder the terms: 24 + 12n = 6(8 + 9n) + 2 24 + 12n = (8 * 6 + 9n * 6) + 2 24 + 12n = (48 + 54n) + 2 Reorder the terms: 24 + 12n = 48 + 2 + 54n Combine like terms: 48 + 2 = 50 24 + 12n = 50 + 54n Solving 24 + 12n = 50 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 24 + 12n + -54n = 50 + 54n + -54n Combine like terms: 12n + -54n = -42n 24 + -42n = 50 + 54n + -54n Combine like terms: 54n + -54n = 0 24 + -42n = 50 + 0 24 + -42n = 50 Add '-24' to each side of the equation. 24 + -24 + -42n = 50 + -24 Combine like terms: 24 + -24 = 0 0 + -42n = 50 + -24 -42n = 50 + -24 Combine like terms: 50 + -24 = 26 -42n = 26 Divide each side by '-42'. n = -0.619047619 Simplifying n = -0.619047619
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