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Simplifying 6(3n + 2) = 8(8n + 6) + 4 Reorder the terms: 6(2 + 3n) = 8(8n + 6) + 4 (2 * 6 + 3n * 6) = 8(8n + 6) + 4 (12 + 18n) = 8(8n + 6) + 4 Reorder the terms: 12 + 18n = 8(6 + 8n) + 4 12 + 18n = (6 * 8 + 8n * 8) + 4 12 + 18n = (48 + 64n) + 4 Reorder the terms: 12 + 18n = 48 + 4 + 64n Combine like terms: 48 + 4 = 52 12 + 18n = 52 + 64n Solving 12 + 18n = 52 + 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. 12 + 18n + -64n = 52 + 64n + -64n Combine like terms: 18n + -64n = -46n 12 + -46n = 52 + 64n + -64n Combine like terms: 64n + -64n = 0 12 + -46n = 52 + 0 12 + -46n = 52 Add '-12' to each side of the equation. 12 + -12 + -46n = 52 + -12 Combine like terms: 12 + -12 = 0 0 + -46n = 52 + -12 -46n = 52 + -12 Combine like terms: 52 + -12 = 40 -46n = 40 Divide each side by '-46'. n = -0.8695652174 Simplifying n = -0.8695652174
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