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Simplifying 4a + 32 = -12a Reorder the terms: 32 + 4a = -12a Solving 32 + 4a = -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 32 + 4a + 12a = -12a + 12a Combine like terms: 4a + 12a = 16a 32 + 16a = -12a + 12a Combine like terms: -12a + 12a = 0 32 + 16a = 0 Add '-32' to each side of the equation. 32 + -32 + 16a = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 16a = 0 + -32 16a = 0 + -32 Combine like terms: 0 + -32 = -32 16a = -32 Divide each side by '16'. a = -2 Simplifying a = -2
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