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Simplifying 3a + 10 = 24 + a Reorder the terms: 10 + 3a = 24 + a Solving 10 + 3a = 24 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 10 + 3a + -1a = 24 + a + -1a Combine like terms: 3a + -1a = 2a 10 + 2a = 24 + a + -1a Combine like terms: a + -1a = 0 10 + 2a = 24 + 0 10 + 2a = 24 Add '-10' to each side of the equation. 10 + -10 + 2a = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = 24 + -10 2a = 24 + -10 Combine like terms: 24 + -10 = 14 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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