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Simplifying 4(8n + 3) + -5 = 3(3s + 2) Reorder the terms: 4(3 + 8n) + -5 = 3(3s + 2) (3 * 4 + 8n * 4) + -5 = 3(3s + 2) (12 + 32n) + -5 = 3(3s + 2) Reorder the terms: 12 + -5 + 32n = 3(3s + 2) Combine like terms: 12 + -5 = 7 7 + 32n = 3(3s + 2) Reorder the terms: 7 + 32n = 3(2 + 3s) 7 + 32n = (2 * 3 + 3s * 3) 7 + 32n = (6 + 9s) Solving 7 + 32n = 6 + 9s Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 32n = 6 + -7 + 9s Combine like terms: 7 + -7 = 0 0 + 32n = 6 + -7 + 9s 32n = 6 + -7 + 9s Combine like terms: 6 + -7 = -1 32n = -1 + 9s Divide each side by '32'. n = -0.03125 + 0.28125s Simplifying n = -0.03125 + 0.28125s
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