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Simplifying 12 + 3a = 42 + -2a Solving 12 + 3a = 42 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 12 + 3a + 2a = 42 + -2a + 2a Combine like terms: 3a + 2a = 5a 12 + 5a = 42 + -2a + 2a Combine like terms: -2a + 2a = 0 12 + 5a = 42 + 0 12 + 5a = 42 Add '-12' to each side of the equation. 12 + -12 + 5a = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = 42 + -12 5a = 42 + -12 Combine like terms: 42 + -12 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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