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Simplifying 12a + 66 = 4a + 74 Reorder the terms: 66 + 12a = 4a + 74 Reorder the terms: 66 + 12a = 74 + 4a Solving 66 + 12a = 74 + 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. 66 + 12a + -4a = 74 + 4a + -4a Combine like terms: 12a + -4a = 8a 66 + 8a = 74 + 4a + -4a Combine like terms: 4a + -4a = 0 66 + 8a = 74 + 0 66 + 8a = 74 Add '-66' to each side of the equation. 66 + -66 + 8a = 74 + -66 Combine like terms: 66 + -66 = 0 0 + 8a = 74 + -66 8a = 74 + -66 Combine like terms: 74 + -66 = 8 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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