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Simplifying 0.4(a + 10) = 0.25(a + 20) Reorder the terms: 0.4(10 + a) = 0.25(a + 20) (10 * 0.4 + a * 0.4) = 0.25(a + 20) (4 + 0.4a) = 0.25(a + 20) Reorder the terms: 4 + 0.4a = 0.25(20 + a) 4 + 0.4a = (20 * 0.25 + a * 0.25) 4 + 0.4a = (5 + 0.25a) Solving 4 + 0.4a = 5 + 0.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.25a' to each side of the equation. 4 + 0.4a + -0.25a = 5 + 0.25a + -0.25a Combine like terms: 0.4a + -0.25a = 0.15a 4 + 0.15a = 5 + 0.25a + -0.25a Combine like terms: 0.25a + -0.25a = 0.00 4 + 0.15a = 5 + 0.00 4 + 0.15a = 5 Add '-4' to each side of the equation. 4 + -4 + 0.15a = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 0.15a = 5 + -4 0.15a = 5 + -4 Combine like terms: 5 + -4 = 1 0.15a = 1 Divide each side by '0.15'. a = 6.666666667 Simplifying a = 6.666666667
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