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Simplifying -2a + 12 + 7a = 8a + -6a Reorder the terms: 12 + -2a + 7a = 8a + -6a Combine like terms: -2a + 7a = 5a 12 + 5a = 8a + -6a Combine like terms: 8a + -6a = 2a 12 + 5a = 2a Solving 12 + 5a = 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 + 5a + -2a = 2a + -2a Combine like terms: 5a + -2a = 3a 12 + 3a = 2a + -2a Combine like terms: 2a + -2a = 0 12 + 3a = 0 Add '-12' to each side of the equation. 12 + -12 + 3a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 0 + -12 3a = 0 + -12 Combine like terms: 0 + -12 = -12 3a = -12 Divide each side by '3'. a = -4 Simplifying a = -4
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