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Simplifying 8(2 + 3a) = 16a + 20 (2 * 8 + 3a * 8) = 16a + 20 (16 + 24a) = 16a + 20 Reorder the terms: 16 + 24a = 20 + 16a Solving 16 + 24a = 20 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 16 + 24a + -16a = 20 + 16a + -16a Combine like terms: 24a + -16a = 8a 16 + 8a = 20 + 16a + -16a Combine like terms: 16a + -16a = 0 16 + 8a = 20 + 0 16 + 8a = 20 Add '-16' to each side of the equation. 16 + -16 + 8a = 20 + -16 Combine like terms: 16 + -16 = 0 0 + 8a = 20 + -16 8a = 20 + -16 Combine like terms: 20 + -16 = 4 8a = 4 Divide each side by '8'. a = 0.5 Simplifying a = 0.5
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