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Simplifying 2a + 12 = 3a + -31 Reorder the terms: 12 + 2a = 3a + -31 Reorder the terms: 12 + 2a = -31 + 3a Solving 12 + 2a = -31 + 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 + 2a + -3a = -31 + 3a + -3a Combine like terms: 2a + -3a = -1a 12 + -1a = -31 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + -1a = -31 + 0 12 + -1a = -31 Add '-12' to each side of the equation. 12 + -12 + -1a = -31 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = -31 + -12 -1a = -31 + -12 Combine like terms: -31 + -12 = -43 -1a = -43 Divide each side by '-1'. a = 43 Simplifying a = 43
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