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Simplifying 5a = 2(6 + -3a) + 21 5a = (6 * 2 + -3a * 2) + 21 5a = (12 + -6a) + 21 Reorder the terms: 5a = 12 + 21 + -6a Combine like terms: 12 + 21 = 33 5a = 33 + -6a Solving 5a = 33 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 5a + 6a = 33 + -6a + 6a Combine like terms: 5a + 6a = 11a 11a = 33 + -6a + 6a Combine like terms: -6a + 6a = 0 11a = 33 + 0 11a = 33 Divide each side by '11'. a = 3 Simplifying a = 3
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