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Simplifying 4(3n + 4) = 7(8n + 7) + 2 Reorder the terms: 4(4 + 3n) = 7(8n + 7) + 2 (4 * 4 + 3n * 4) = 7(8n + 7) + 2 (16 + 12n) = 7(8n + 7) + 2 Reorder the terms: 16 + 12n = 7(7 + 8n) + 2 16 + 12n = (7 * 7 + 8n * 7) + 2 16 + 12n = (49 + 56n) + 2 Reorder the terms: 16 + 12n = 49 + 2 + 56n Combine like terms: 49 + 2 = 51 16 + 12n = 51 + 56n Solving 16 + 12n = 51 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 16 + 12n + -56n = 51 + 56n + -56n Combine like terms: 12n + -56n = -44n 16 + -44n = 51 + 56n + -56n Combine like terms: 56n + -56n = 0 16 + -44n = 51 + 0 16 + -44n = 51 Add '-16' to each side of the equation. 16 + -16 + -44n = 51 + -16 Combine like terms: 16 + -16 = 0 0 + -44n = 51 + -16 -44n = 51 + -16 Combine like terms: 51 + -16 = 35 -44n = 35 Divide each side by '-44'. n = -0.7954545455 Simplifying n = -0.7954545455
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