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