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Simplifying 21 = 2(4a + -12) Reorder the terms: 21 = 2(-12 + 4a) 21 = (-12 * 2 + 4a * 2) 21 = (-24 + 8a) Solving 21 = -24 + 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 = -24 + 8a + -8a Combine like terms: 8a + -8a = 0 21 + -8a = -24 + 0 21 + -8a = -24 Add '-21' to each side of the equation. 21 + -21 + -8a = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -8a = -24 + -21 -8a = -24 + -21 Combine like terms: -24 + -21 = -45 -8a = -45 Divide each side by '-8'. a = 5.625 Simplifying a = 5.625
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