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Simplifying 8.2(a + 4) = 6.7s + 5.2 Reorder the terms: 8.2(4 + a) = 6.7s + 5.2 (4 * 8.2 + a * 8.2) = 6.7s + 5.2 (32.8 + 8.2a) = 6.7s + 5.2 Reorder the terms: 32.8 + 8.2a = 5.2 + 6.7s Solving 32.8 + 8.2a = 5.2 + 6.7s Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32.8' to each side of the equation. 32.8 + -32.8 + 8.2a = 5.2 + -32.8 + 6.7s Combine like terms: 32.8 + -32.8 = 0.0 0.0 + 8.2a = 5.2 + -32.8 + 6.7s 8.2a = 5.2 + -32.8 + 6.7s Combine like terms: 5.2 + -32.8 = -27.6 8.2a = -27.6 + 6.7s Divide each side by '8.2'. a = -3.365853659 + 0.8170731707s Simplifying a = -3.365853659 + 0.8170731707s
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