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Simplifying 0.5(8a + 6) = 42 Reorder the terms: 0.5(6 + 8a) = 42 (6 * 0.5 + 8a * 0.5) = 42 (3 + 4a) = 42 Solving 3 + 4a = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4a = 42 + -3 Combine like terms: 3 + -3 = 0 0 + 4a = 42 + -3 4a = 42 + -3 Combine like terms: 42 + -3 = 39 4a = 39 Divide each side by '4'. a = 9.75 Simplifying a = 9.75
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