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Simplifying 2(9a + 3) + -4(2a + -8) = 16 Reorder the terms: 2(3 + 9a) + -4(2a + -8) = 16 (3 * 2 + 9a * 2) + -4(2a + -8) = 16 (6 + 18a) + -4(2a + -8) = 16 Reorder the terms: 6 + 18a + -4(-8 + 2a) = 16 6 + 18a + (-8 * -4 + 2a * -4) = 16 6 + 18a + (32 + -8a) = 16 Reorder the terms: 6 + 32 + 18a + -8a = 16 Combine like terms: 6 + 32 = 38 38 + 18a + -8a = 16 Combine like terms: 18a + -8a = 10a 38 + 10a = 16 Solving 38 + 10a = 16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 10a = 16 + -38 Combine like terms: 38 + -38 = 0 0 + 10a = 16 + -38 10a = 16 + -38 Combine like terms: 16 + -38 = -22 10a = -22 Divide each side by '10'. a = -2.2 Simplifying a = -2.2
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