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Simplifying 4a + 12 = 3a + 32 Reorder the terms: 12 + 4a = 3a + 32 Reorder the terms: 12 + 4a = 32 + 3a Solving 12 + 4a = 32 + 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. 12 + 4a + -3a = 32 + 3a + -3a Combine like terms: 4a + -3a = 1a 12 + 1a = 32 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + 1a = 32 + 0 12 + 1a = 32 Add '-12' to each side of the equation. 12 + -12 + 1a = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 1a = 32 + -12 1a = 32 + -12 Combine like terms: 32 + -12 = 20 1a = 20 Divide each side by '1'. a = 20 Simplifying a = 20
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