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Simplifying 9a + 12 = 6a + -30 Reorder the terms: 12 + 9a = 6a + -30 Reorder the terms: 12 + 9a = -30 + 6a Solving 12 + 9a = -30 + 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 + 9a + -6a = -30 + 6a + -6a Combine like terms: 9a + -6a = 3a 12 + 3a = -30 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + 3a = -30 + 0 12 + 3a = -30 Add '-12' to each side of the equation. 12 + -12 + 3a = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = -30 + -12 3a = -30 + -12 Combine like terms: -30 + -12 = -42 3a = -42 Divide each side by '3'. a = -14 Simplifying a = -14
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