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Simplifying 9a + -3a + -12 = (-36) + 3a Reorder the terms: -12 + 9a + -3a = (-36) + 3a Combine like terms: 9a + -3a = 6a -12 + 6a = (-36) + 3a -12 + 6a = -36 + 3a Solving -12 + 6a = -36 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -12 + 6a + -3a = -36 + 3a + -3a Combine like terms: 6a + -3a = 3a -12 + 3a = -36 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + 3a = -36 + 0 -12 + 3a = -36 Add '12' to each side of the equation. -12 + 12 + 3a = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = -36 + 12 3a = -36 + 12 Combine like terms: -36 + 12 = -24 3a = -24 Divide each side by '3'. a = -8 Simplifying a = -8
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