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Simplifying 7a + 12 = 5a + -4 Reorder the terms: 12 + 7a = 5a + -4 Reorder the terms: 12 + 7a = -4 + 5a Solving 12 + 7a = -4 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 12 + 7a + -5a = -4 + 5a + -5a Combine like terms: 7a + -5a = 2a 12 + 2a = -4 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + 2a = -4 + 0 12 + 2a = -4 Add '-12' to each side of the equation. 12 + -12 + 2a = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = -4 + -12 2a = -4 + -12 Combine like terms: -4 + -12 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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