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Simplifying 41.4 = 0.5(a + 8.2) * 6 Reorder the terms: 41.4 = 0.5(8.2 + a) * 6 Reorder the terms for easier multiplication: 41.4 = 0.5 * 6(8.2 + a) Multiply 0.5 * 6 41.4 = 3(8.2 + a) 41.4 = (8.2 * 3 + a * 3) 41.4 = (24.6 + 3a) Solving 41.4 = 24.6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 41.4 + -3a = 24.6 + 3a + -3a Combine like terms: 3a + -3a = 0 41.4 + -3a = 24.6 + 0 41.4 + -3a = 24.6 Add '-41.4' to each side of the equation. 41.4 + -41.4 + -3a = 24.6 + -41.4 Combine like terms: 41.4 + -41.4 = 0.0 0.0 + -3a = 24.6 + -41.4 -3a = 24.6 + -41.4 Combine like terms: 24.6 + -41.4 = -16.8 -3a = -16.8 Divide each side by '-3'. a = 5.6 Simplifying a = 5.6
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