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Simplifying 6a + 24 = 5a + 7a Reorder the terms: 24 + 6a = 5a + 7a Combine like terms: 5a + 7a = 12a 24 + 6a = 12a Solving 24 + 6a = 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 24 + 6a + -12a = 12a + -12a Combine like terms: 6a + -12a = -6a 24 + -6a = 12a + -12a Combine like terms: 12a + -12a = 0 24 + -6a = 0 Add '-24' to each side of the equation. 24 + -24 + -6a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6a = 0 + -24 -6a = 0 + -24 Combine like terms: 0 + -24 = -24 -6a = -24 Divide each side by '-6'. a = 4 Simplifying a = 4
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