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Simplifying 12 = 2(a + 8) Reorder the terms: 12 = 2(8 + a) 12 = (8 * 2 + a * 2) 12 = (16 + 2a) Solving 12 = 16 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 12 + -2a = 16 + 2a + -2a Combine like terms: 2a + -2a = 0 12 + -2a = 16 + 0 12 + -2a = 16 Add '-12' to each side of the equation. 12 + -12 + -2a = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 16 + -12 -2a = 16 + -12 Combine like terms: 16 + -12 = 4 -2a = 4 Divide each side by '-2'. a = -2 Simplifying a = -2
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