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Simplifying 2(5 + -3a) = 4a + -16 (5 * 2 + -3a * 2) = 4a + -16 (10 + -6a) = 4a + -16 Reorder the terms: 10 + -6a = -16 + 4a Solving 10 + -6a = -16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 10 + -6a + -4a = -16 + 4a + -4a Combine like terms: -6a + -4a = -10a 10 + -10a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 10 + -10a = -16 + 0 10 + -10a = -16 Add '-10' to each side of the equation. 10 + -10 + -10a = -16 + -10 Combine like terms: 10 + -10 = 0 0 + -10a = -16 + -10 -10a = -16 + -10 Combine like terms: -16 + -10 = -26 -10a = -26 Divide each side by '-10'. a = 2.6 Simplifying a = 2.6
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