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Simplifying 0.25(8a + 40) = 8a Reorder the terms: 0.25(40 + 8a) = 8a (40 * 0.25 + 8a * 0.25) = 8a (10 + 2a) = 8a Solving 10 + 2a = 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 10 + 2a + -8a = 8a + -8a Combine like terms: 2a + -8a = -6a 10 + -6a = 8a + -8a Combine like terms: 8a + -8a = 0 10 + -6a = 0 Add '-10' to each side of the equation. 10 + -10 + -6a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6a = 0 + -10 -6a = 0 + -10 Combine like terms: 0 + -10 = -10 -6a = -10 Divide each side by '-6'. a = 1.666666667 Simplifying a = 1.666666667
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