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Simplifying 12 = 4(a + 6) Reorder the terms: 12 = 4(6 + a) 12 = (6 * 4 + a * 4) 12 = (24 + 4a) Solving 12 = 24 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 12 + -4a = 24 + 4a + -4a Combine like terms: 4a + -4a = 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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