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Simplifying 12a + -5 = 8a + 19 Reorder the terms: -5 + 12a = 8a + 19 Reorder the terms: -5 + 12a = 19 + 8a Solving -5 + 12a = 19 + 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. -5 + 12a + -8a = 19 + 8a + -8a Combine like terms: 12a + -8a = 4a -5 + 4a = 19 + 8a + -8a Combine like terms: 8a + -8a = 0 -5 + 4a = 19 + 0 -5 + 4a = 19 Add '5' to each side of the equation. -5 + 5 + 4a = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 4a = 19 + 5 4a = 19 + 5 Combine like terms: 19 + 5 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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