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Simplifying -5a + 12 = a + -6 Reorder the terms: 12 + -5a = a + -6 Reorder the terms: 12 + -5a = -6 + a Solving 12 + -5a = -6 + 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. 12 + -5a + -1a = -6 + a + -1a Combine like terms: -5a + -1a = -6a 12 + -6a = -6 + a + -1a Combine like terms: a + -1a = 0 12 + -6a = -6 + 0 12 + -6a = -6 Add '-12' to each side of the equation. 12 + -12 + -6a = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6a = -6 + -12 -6a = -6 + -12 Combine like terms: -6 + -12 = -18 -6a = -18 Divide each side by '-6'. a = 3 Simplifying a = 3
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