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Simplifying 2(8 + -3a) = 4(-5a + 2) (8 * 2 + -3a * 2) = 4(-5a + 2) (16 + -6a) = 4(-5a + 2) Reorder the terms: 16 + -6a = 4(2 + -5a) 16 + -6a = (2 * 4 + -5a * 4) 16 + -6a = (8 + -20a) Solving 16 + -6a = 8 + -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. 16 + -6a + 20a = 8 + -20a + 20a Combine like terms: -6a + 20a = 14a 16 + 14a = 8 + -20a + 20a Combine like terms: -20a + 20a = 0 16 + 14a = 8 + 0 16 + 14a = 8 Add '-16' to each side of the equation. 16 + -16 + 14a = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 14a = 8 + -16 14a = 8 + -16 Combine like terms: 8 + -16 = -8 14a = -8 Divide each side by '14'. a = -0.5714285714 Simplifying a = -0.5714285714
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