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Simplifying a + 12 + 6a + -7 = 0 Reorder the terms: 12 + -7 + a + 6a = 0 Combine like terms: 12 + -7 = 5 5 + a + 6a = 0 Combine like terms: a + 6a = 7a 5 + 7a = 0 Solving 5 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7a = 0 + -5 7a = 0 + -5 Combine like terms: 0 + -5 = -5 7a = -5 Divide each side by '7'. a = -0.7142857143 Simplifying a = -0.7142857143
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