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Simplifying 7a + 12 = 4a + 45 Reorder the terms: 12 + 7a = 4a + 45 Reorder the terms: 12 + 7a = 45 + 4a Solving 12 + 7a = 45 + 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 = 45 + 4a + -4a Combine like terms: 7a + -4a = 3a 12 + 3a = 45 + 4a + -4a Combine like terms: 4a + -4a = 0 12 + 3a = 45 + 0 12 + 3a = 45 Add '-12' to each side of the equation. 12 + -12 + 3a = 45 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 45 + -12 3a = 45 + -12 Combine like terms: 45 + -12 = 33 3a = 33 Divide each side by '3'. a = 11 Simplifying a = 11
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