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Simplifying 2(4 + -3a) = 8a + 5 (4 * 2 + -3a * 2) = 8a + 5 (8 + -6a) = 8a + 5 Reorder the terms: 8 + -6a = 5 + 8a Solving 8 + -6a = 5 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 8 + -6a + -8a = 5 + 8a + -8a Combine like terms: -6a + -8a = -14a 8 + -14a = 5 + 8a + -8a Combine like terms: 8a + -8a = 0 8 + -14a = 5 + 0 8 + -14a = 5 Add '-8' to each side of the equation. 8 + -8 + -14a = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -14a = 5 + -8 -14a = 5 + -8 Combine like terms: 5 + -8 = -3 -14a = -3 Divide each side by '-14'. a = 0.2142857143 Simplifying a = 0.2142857143
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