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Simplifying 38 = 50 + 12a + -24a Combine like terms: 12a + -24a = -12a 38 = 50 + -12a Solving 38 = 50 + -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. 38 + 12a = 50 + -12a + 12a Combine like terms: -12a + 12a = 0 38 + 12a = 50 + 0 38 + 12a = 50 Add '-38' to each side of the equation. 38 + -38 + 12a = 50 + -38 Combine like terms: 38 + -38 = 0 0 + 12a = 50 + -38 12a = 50 + -38 Combine like terms: 50 + -38 = 12 12a = 12 Divide each side by '12'. a = 1 Simplifying a = 1
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