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Simplifying 12a + -6a + 42 = 7 Reorder the terms: 42 + 12a + -6a = 7 Combine like terms: 12a + -6a = 6a 42 + 6a = 7 Solving 42 + 6a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 6a = 7 + -42 Combine like terms: 42 + -42 = 0 0 + 6a = 7 + -42 6a = 7 + -42 Combine like terms: 7 + -42 = -35 6a = -35 Divide each side by '6'. a = -5.833333333 Simplifying a = -5.833333333
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