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Simplifying 4(8n + 3) = 37 + 7n Reorder the terms: 4(3 + 8n) = 37 + 7n (3 * 4 + 8n * 4) = 37 + 7n (12 + 32n) = 37 + 7n Solving 12 + 32n = 37 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 12 + 32n + -7n = 37 + 7n + -7n Combine like terms: 32n + -7n = 25n 12 + 25n = 37 + 7n + -7n Combine like terms: 7n + -7n = 0 12 + 25n = 37 + 0 12 + 25n = 37 Add '-12' to each side of the equation. 12 + -12 + 25n = 37 + -12 Combine like terms: 12 + -12 = 0 0 + 25n = 37 + -12 25n = 37 + -12 Combine like terms: 37 + -12 = 25 25n = 25 Divide each side by '25'. n = 1 Simplifying n = 1
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