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Simplifying 8(2 + 3a) = 16a + 20a (2 * 8 + 3a * 8) = 16a + 20a (16 + 24a) = 16a + 20a Combine like terms: 16a + 20a = 36a 16 + 24a = 36a Solving 16 + 24a = 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. 16 + 24a + -36a = 36a + -36a Combine like terms: 24a + -36a = -12a 16 + -12a = 36a + -36a Combine like terms: 36a + -36a = 0 16 + -12a = 0 Add '-16' to each side of the equation. 16 + -16 + -12a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -12a = 0 + -16 -12a = 0 + -16 Combine like terms: 0 + -16 = -16 -12a = -16 Divide each side by '-12'. a = 1.333333333 Simplifying a = 1.333333333
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