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Simplifying 5a + 40 = 46 + 2a Reorder the terms: 40 + 5a = 46 + 2a Solving 40 + 5a = 46 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 40 + 5a + -2a = 46 + 2a + -2a Combine like terms: 5a + -2a = 3a 40 + 3a = 46 + 2a + -2a Combine like terms: 2a + -2a = 0 40 + 3a = 46 + 0 40 + 3a = 46 Add '-40' to each side of the equation. 40 + -40 + 3a = 46 + -40 Combine like terms: 40 + -40 = 0 0 + 3a = 46 + -40 3a = 46 + -40 Combine like terms: 46 + -40 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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