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Simplifying -3a + 30a + 45 = 60 + 12a Reorder the terms: 45 + -3a + 30a = 60 + 12a Combine like terms: -3a + 30a = 27a 45 + 27a = 60 + 12a Solving 45 + 27a = 60 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 45 + 27a + -12a = 60 + 12a + -12a Combine like terms: 27a + -12a = 15a 45 + 15a = 60 + 12a + -12a Combine like terms: 12a + -12a = 0 45 + 15a = 60 + 0 45 + 15a = 60 Add '-45' to each side of the equation. 45 + -45 + 15a = 60 + -45 Combine like terms: 45 + -45 = 0 0 + 15a = 60 + -45 15a = 60 + -45 Combine like terms: 60 + -45 = 15 15a = 15 Divide each side by '15'. a = 1 Simplifying a = 1
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