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Simplifying 8a + 16 = 4a + 12 Reorder the terms: 16 + 8a = 4a + 12 Reorder the terms: 16 + 8a = 12 + 4a Solving 16 + 8a = 12 + 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. 16 + 8a + -4a = 12 + 4a + -4a Combine like terms: 8a + -4a = 4a 16 + 4a = 12 + 4a + -4a Combine like terms: 4a + -4a = 0 16 + 4a = 12 + 0 16 + 4a = 12 Add '-16' to each side of the equation. 16 + -16 + 4a = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 4a = 12 + -16 4a = 12 + -16 Combine like terms: 12 + -16 = -4 4a = -4 Divide each side by '4'. a = -1 Simplifying a = -1
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