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Simplifying -5 = 0.25(4 + 20a) + -8a -5 = (4 * 0.25 + 20a * 0.25) + -8a -5 = (1 + 5a) + -8a Combine like terms: 5a + -8a = -3a -5 = 1 + -3a Solving -5 = 1 + -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. -5 + 3a = 1 + -3a + 3a Combine like terms: -3a + 3a = 0 -5 + 3a = 1 + 0 -5 + 3a = 1 Add '5' to each side of the equation. -5 + 5 + 3a = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = 1 + 5 3a = 1 + 5 Combine like terms: 1 + 5 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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