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Simplifying 7a + 12 = -4a + 78 Reorder the terms: 12 + 7a = -4a + 78 Reorder the terms: 12 + 7a = 78 + -4a Solving 12 + 7a = 78 + -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 = 78 + -4a + 4a Combine like terms: 7a + 4a = 11a 12 + 11a = 78 + -4a + 4a Combine like terms: -4a + 4a = 0 12 + 11a = 78 + 0 12 + 11a = 78 Add '-12' to each side of the equation. 12 + -12 + 11a = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 11a = 78 + -12 11a = 78 + -12 Combine like terms: 78 + -12 = 66 11a = 66 Divide each side by '11'. a = 6 Simplifying a = 6
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