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Simplifying 12 + 4a = 2(12 + 4a) 12 + 4a = (12 * 2 + 4a * 2) 12 + 4a = (24 + 8a) Solving 12 + 4a = 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. 12 + 4a + -8a = 24 + 8a + -8a Combine like terms: 4a + -8a = -4a 12 + -4a = 24 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + -4a = 24 + 0 12 + -4a = 24 Add '-12' to each side of the equation. 12 + -12 + -4a = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -4a = 24 + -12 -4a = 24 + -12 Combine like terms: 24 + -12 = 12 -4a = 12 Divide each side by '-4'. a = -3 Simplifying a = -3
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