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Simplifying 3a + 38 = 5a + 14 Reorder the terms: 38 + 3a = 5a + 14 Reorder the terms: 38 + 3a = 14 + 5a Solving 38 + 3a = 14 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 38 + 3a + -5a = 14 + 5a + -5a Combine like terms: 3a + -5a = -2a 38 + -2a = 14 + 5a + -5a Combine like terms: 5a + -5a = 0 38 + -2a = 14 + 0 38 + -2a = 14 Add '-38' to each side of the equation. 38 + -38 + -2a = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -2a = 14 + -38 -2a = 14 + -38 Combine like terms: 14 + -38 = -24 -2a = -24 Divide each side by '-2'. a = 12 Simplifying a = 12
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