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Simplifying a + 2 + 6a = -12 + -7a Reorder the terms: 2 + a + 6a = -12 + -7a Combine like terms: a + 6a = 7a 2 + 7a = -12 + -7a Solving 2 + 7a = -12 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 2 + 7a + 7a = -12 + -7a + 7a Combine like terms: 7a + 7a = 14a 2 + 14a = -12 + -7a + 7a Combine like terms: -7a + 7a = 0 2 + 14a = -12 + 0 2 + 14a = -12 Add '-2' to each side of the equation. 2 + -2 + 14a = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 14a = -12 + -2 14a = -12 + -2 Combine like terms: -12 + -2 = -14 14a = -14 Divide each side by '14'. a = -1 Simplifying a = -1
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