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Simplifying 3a + 5 + -8a = 7 + -9a + -12 Reorder the terms: 5 + 3a + -8a = 7 + -9a + -12 Combine like terms: 3a + -8a = -5a 5 + -5a = 7 + -9a + -12 Reorder the terms: 5 + -5a = 7 + -12 + -9a Combine like terms: 7 + -12 = -5 5 + -5a = -5 + -9a Solving 5 + -5a = -5 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 5 + -5a + 9a = -5 + -9a + 9a Combine like terms: -5a + 9a = 4a 5 + 4a = -5 + -9a + 9a Combine like terms: -9a + 9a = 0 5 + 4a = -5 + 0 5 + 4a = -5 Add '-5' to each side of the equation. 5 + -5 + 4a = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 4a = -5 + -5 4a = -5 + -5 Combine like terms: -5 + -5 = -10 4a = -10 Divide each side by '4'. a = -2.5 Simplifying a = -2.5
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