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Simplifying 21 = 9 + -2(4a + 2) Reorder the terms: 21 = 9 + -2(2 + 4a) 21 = 9 + (2 * -2 + 4a * -2) 21 = 9 + (-4 + -8a) Combine like terms: 9 + -4 = 5 21 = 5 + -8a Solving 21 = 5 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 21 + 8a = 5 + -8a + 8a Combine like terms: -8a + 8a = 0 21 + 8a = 5 + 0 21 + 8a = 5 Add '-21' to each side of the equation. 21 + -21 + 8a = 5 + -21 Combine like terms: 21 + -21 = 0 0 + 8a = 5 + -21 8a = 5 + -21 Combine like terms: 5 + -21 = -16 8a = -16 Divide each side by '8'. a = -2 Simplifying a = -2
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