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Simplifying 15a + -31 = 21a + -103 Reorder the terms: -31 + 15a = 21a + -103 Reorder the terms: -31 + 15a = -103 + 21a Solving -31 + 15a = -103 + 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. -31 + 15a + -21a = -103 + 21a + -21a Combine like terms: 15a + -21a = -6a -31 + -6a = -103 + 21a + -21a Combine like terms: 21a + -21a = 0 -31 + -6a = -103 + 0 -31 + -6a = -103 Add '31' to each side of the equation. -31 + 31 + -6a = -103 + 31 Combine like terms: -31 + 31 = 0 0 + -6a = -103 + 31 -6a = -103 + 31 Combine like terms: -103 + 31 = -72 -6a = -72 Divide each side by '-6'. a = 12 Simplifying a = 12
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