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Simplifying 4(2n + 3) = 8(8n + 6) + 6 Reorder the terms: 4(3 + 2n) = 8(8n + 6) + 6 (3 * 4 + 2n * 4) = 8(8n + 6) + 6 (12 + 8n) = 8(8n + 6) + 6 Reorder the terms: 12 + 8n = 8(6 + 8n) + 6 12 + 8n = (6 * 8 + 8n * 8) + 6 12 + 8n = (48 + 64n) + 6 Reorder the terms: 12 + 8n = 48 + 6 + 64n Combine like terms: 48 + 6 = 54 12 + 8n = 54 + 64n Solving 12 + 8n = 54 + 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 + 8n + -64n = 54 + 64n + -64n Combine like terms: 8n + -64n = -56n 12 + -56n = 54 + 64n + -64n Combine like terms: 64n + -64n = 0 12 + -56n = 54 + 0 12 + -56n = 54 Add '-12' to each side of the equation. 12 + -12 + -56n = 54 + -12 Combine like terms: 12 + -12 = 0 0 + -56n = 54 + -12 -56n = 54 + -12 Combine like terms: 54 + -12 = 42 -56n = 42 Divide each side by '-56'. n = -0.75 Simplifying n = -0.75
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