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Simplifying 8a + 2 = 6 + 12a Reorder the terms: 2 + 8a = 6 + 12a Solving 2 + 8a = 6 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 2 + 8a + -12a = 6 + 12a + -12a Combine like terms: 8a + -12a = -4a 2 + -4a = 6 + 12a + -12a Combine like terms: 12a + -12a = 0 2 + -4a = 6 + 0 2 + -4a = 6 Add '-2' to each side of the equation. 2 + -2 + -4a = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -4a = 6 + -2 -4a = 6 + -2 Combine like terms: 6 + -2 = 4 -4a = 4 Divide each side by '-4'. a = -1 Simplifying a = -1
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