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