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Simplifying 6 + 7a + 6 + -12 = 6a + -5 + -3 Reorder the terms: 6 + 6 + -12 + 7a = 6a + -5 + -3 Combine like terms: 6 + 6 = 12 12 + -12 + 7a = 6a + -5 + -3 Combine like terms: 12 + -12 = 0 0 + 7a = 6a + -5 + -3 7a = 6a + -5 + -3 Reorder the terms: 7a = -5 + -3 + 6a Combine like terms: -5 + -3 = -8 7a = -8 + 6a Solving 7a = -8 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 7a + -6a = -8 + 6a + -6a Combine like terms: 7a + -6a = 1a 1a = -8 + 6a + -6a Combine like terms: 6a + -6a = 0 1a = -8 + 0 1a = -8 Divide each side by '1'. a = -8 Simplifying a = -8
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