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Simplifying 5a + -8a + -12 = 3 + -8a Reorder the terms: -12 + 5a + -8a = 3 + -8a Combine like terms: 5a + -8a = -3a -12 + -3a = 3 + -8a Solving -12 + -3a = 3 + -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 + -3a + 8a = 3 + -8a + 8a Combine like terms: -3a + 8a = 5a -12 + 5a = 3 + -8a + 8a Combine like terms: -8a + 8a = 0 -12 + 5a = 3 + 0 -12 + 5a = 3 Add '12' to each side of the equation. -12 + 12 + 5a = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 5a = 3 + 12 5a = 3 + 12 Combine like terms: 3 + 12 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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