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Simplifying 6(2n + 4) = 8(6n + 4) + 8 Reorder the terms: 6(4 + 2n) = 8(6n + 4) + 8 (4 * 6 + 2n * 6) = 8(6n + 4) + 8 (24 + 12n) = 8(6n + 4) + 8 Reorder the terms: 24 + 12n = 8(4 + 6n) + 8 24 + 12n = (4 * 8 + 6n * 8) + 8 24 + 12n = (32 + 48n) + 8 Reorder the terms: 24 + 12n = 32 + 8 + 48n Combine like terms: 32 + 8 = 40 24 + 12n = 40 + 48n Solving 24 + 12n = 40 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 24 + 12n + -48n = 40 + 48n + -48n Combine like terms: 12n + -48n = -36n 24 + -36n = 40 + 48n + -48n Combine like terms: 48n + -48n = 0 24 + -36n = 40 + 0 24 + -36n = 40 Add '-24' to each side of the equation. 24 + -24 + -36n = 40 + -24 Combine like terms: 24 + -24 = 0 0 + -36n = 40 + -24 -36n = 40 + -24 Combine like terms: 40 + -24 = 16 -36n = 16 Divide each side by '-36'. n = -0.4444444444 Simplifying n = -0.4444444444
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