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Simplifying 7a + 12 = 4a + -12 Reorder the terms: 12 + 7a = 4a + -12 Reorder the terms: 12 + 7a = -12 + 4a Solving 12 + 7a = -12 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 12 + 7a + -4a = -12 + 4a + -4a Combine like terms: 7a + -4a = 3a 12 + 3a = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 12 + 3a = -12 + 0 12 + 3a = -12 Add '-12' to each side of the equation. 12 + -12 + 3a = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = -12 + -12 3a = -12 + -12 Combine like terms: -12 + -12 = -24 3a = -24 Divide each side by '3'. a = -8 Simplifying a = -8
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