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Simplifying 12a + -24 = 10a + 16 Reorder the terms: -24 + 12a = 10a + 16 Reorder the terms: -24 + 12a = 16 + 10a Solving -24 + 12a = 16 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -24 + 12a + -10a = 16 + 10a + -10a Combine like terms: 12a + -10a = 2a -24 + 2a = 16 + 10a + -10a Combine like terms: 10a + -10a = 0 -24 + 2a = 16 + 0 -24 + 2a = 16 Add '24' to each side of the equation. -24 + 24 + 2a = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 2a = 16 + 24 2a = 16 + 24 Combine like terms: 16 + 24 = 40 2a = 40 Divide each side by '2'. a = 20 Simplifying a = 20
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