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Simplifying 5a + 12 = -6 + -1a Reorder the terms: 12 + 5a = -6 + -1a Solving 12 + 5a = -6 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 12 + 5a + a = -6 + -1a + a Combine like terms: 5a + a = 6a 12 + 6a = -6 + -1a + a Combine like terms: -1a + a = 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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