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Simplifying 15a + 483 = 21a + 462 Reorder the terms: 483 + 15a = 21a + 462 Reorder the terms: 483 + 15a = 462 + 21a Solving 483 + 15a = 462 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 483 + 15a + -21a = 462 + 21a + -21a Combine like terms: 15a + -21a = -6a 483 + -6a = 462 + 21a + -21a Combine like terms: 21a + -21a = 0 483 + -6a = 462 + 0 483 + -6a = 462 Add '-483' to each side of the equation. 483 + -483 + -6a = 462 + -483 Combine like terms: 483 + -483 = 0 0 + -6a = 462 + -483 -6a = 462 + -483 Combine like terms: 462 + -483 = -21 -6a = -21 Divide each side by '-6'. a = 3.5 Simplifying a = 3.5
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