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