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Simplifying 4a + 12 = (-8a) + 16 Reorder the terms: 12 + 4a = (-8a) + 16 Reorder the terms: 12 + 4a = 16 + (-8a) Solving 12 + 4a = 16 + (-8a) Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '(8a)' to each side of the equation. 12 + 4a + (8a) = 16 + (-8a) + (8a) Combine like terms: 4a + (8a) = 12a 12 + 12a = 16 + (-8a) + (8a) Combine like terms: (-8a) + (8a) = 0 12 + 12a = 16 + 0 12 + 12a = 16 Add '-12' to each side of the equation. 12 + -12 + 12a = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 12a = 16 + -12 12a = 16 + -12 Combine like terms: 16 + -12 = 4 12a = 4 Divide each side by '12'. a = 0.3333333333 Simplifying a = 0.3333333333
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