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Simplifying 7a + 12 = 2a + 16 Reorder the terms: 12 + 7a = 2a + 16 Reorder the terms: 12 + 7a = 16 + 2a Solving 12 + 7a = 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 + 7a + -2a = 16 + 2a + -2a Combine like terms: 7a + -2a = 5a 12 + 5a = 16 + 2a + -2a Combine like terms: 2a + -2a = 0 12 + 5a = 16 + 0 12 + 5a = 16 Add '-12' to each side of the equation. 12 + -12 + 5a = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = 16 + -12 5a = 16 + -12 Combine like terms: 16 + -12 = 4 5a = 4 Divide each side by '5'. a = 0.8 Simplifying a = 0.8
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