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Simplifying 5a + 12 = 3a + -2 Reorder the terms: 12 + 5a = 3a + -2 Reorder the terms: 12 + 5a = -2 + 3a Solving 12 + 5a = -2 + 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 + 5a + -3a = -2 + 3a + -3a Combine like terms: 5a + -3a = 2a 12 + 2a = -2 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + 2a = -2 + 0 12 + 2a = -2 Add '-12' to each side of the equation. 12 + -12 + 2a = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = -2 + -12 2a = -2 + -12 Combine like terms: -2 + -12 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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