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Simplifying a + 12 = 20 + -3a Reorder the terms: 12 + a = 20 + -3a Solving 12 + a = 20 + -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 + a + 3a = 20 + -3a + 3a Combine like terms: a + 3a = 4a 12 + 4a = 20 + -3a + 3a Combine like terms: -3a + 3a = 0 12 + 4a = 20 + 0 12 + 4a = 20 Add '-12' to each side of the equation. 12 + -12 + 4a = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4a = 20 + -12 4a = 20 + -12 Combine like terms: 20 + -12 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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