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Simplifying 12a + -15 = 8a + 5 Reorder the terms: -15 + 12a = 8a + 5 Reorder the terms: -15 + 12a = 5 + 8a Solving -15 + 12a = 5 + 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. -15 + 12a + -8a = 5 + 8a + -8a Combine like terms: 12a + -8a = 4a -15 + 4a = 5 + 8a + -8a Combine like terms: 8a + -8a = 0 -15 + 4a = 5 + 0 -15 + 4a = 5 Add '15' to each side of the equation. -15 + 15 + 4a = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 4a = 5 + 15 4a = 5 + 15 Combine like terms: 5 + 15 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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