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Simplifying 21 + 8a = -3(-1a + -2) Reorder the terms: 21 + 8a = -3(-2 + -1a) 21 + 8a = (-2 * -3 + -1a * -3) 21 + 8a = (6 + 3a) Solving 21 + 8a = 6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 21 + 8a + -3a = 6 + 3a + -3a Combine like terms: 8a + -3a = 5a 21 + 5a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 21 + 5a = 6 + 0 21 + 5a = 6 Add '-21' to each side of the equation. 21 + -21 + 5a = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 5a = 6 + -21 5a = 6 + -21 Combine like terms: 6 + -21 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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