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Simplifying 5a + 24 = 10a + 14 Reorder the terms: 24 + 5a = 10a + 14 Reorder the terms: 24 + 5a = 14 + 10a Solving 24 + 5a = 14 + 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 + 5a + -10a = 14 + 10a + -10a Combine like terms: 5a + -10a = -5a 24 + -5a = 14 + 10a + -10a Combine like terms: 10a + -10a = 0 24 + -5a = 14 + 0 24 + -5a = 14 Add '-24' to each side of the equation. 24 + -24 + -5a = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -5a = 14 + -24 -5a = 14 + -24 Combine like terms: 14 + -24 = -10 -5a = -10 Divide each side by '-5'. a = 2 Simplifying a = 2
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