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Simplifying 12 + -5a = -8a + 15 Reorder the terms: 12 + -5a = 15 + -8a Solving 12 + -5a = 15 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 12 + -5a + 8a = 15 + -8a + 8a Combine like terms: -5a + 8a = 3a 12 + 3a = 15 + -8a + 8a Combine like terms: -8a + 8a = 0 12 + 3a = 15 + 0 12 + 3a = 15 Add '-12' to each side of the equation. 12 + -12 + 3a = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 15 + -12 3a = 15 + -12 Combine like terms: 15 + -12 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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