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Simplifying 8a + 4 + 7a = 16 + 3a Reorder the terms: 4 + 8a + 7a = 16 + 3a Combine like terms: 8a + 7a = 15a 4 + 15a = 16 + 3a Solving 4 + 15a = 16 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 4 + 15a + -3a = 16 + 3a + -3a Combine like terms: 15a + -3a = 12a 4 + 12a = 16 + 3a + -3a Combine like terms: 3a + -3a = 0 4 + 12a = 16 + 0 4 + 12a = 16 Add '-4' to each side of the equation. 4 + -4 + 12a = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 12a = 16 + -4 12a = 16 + -4 Combine like terms: 16 + -4 = 12 12a = 12 Divide each side by '12'. a = 1 Simplifying a = 1
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