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Simplifying 31 + 3a = 4(7a + 5) Reorder the terms: 31 + 3a = 4(5 + 7a) 31 + 3a = (5 * 4 + 7a * 4) 31 + 3a = (20 + 28a) Solving 31 + 3a = 20 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. 31 + 3a + -28a = 20 + 28a + -28a Combine like terms: 3a + -28a = -25a 31 + -25a = 20 + 28a + -28a Combine like terms: 28a + -28a = 0 31 + -25a = 20 + 0 31 + -25a = 20 Add '-31' to each side of the equation. 31 + -31 + -25a = 20 + -31 Combine like terms: 31 + -31 = 0 0 + -25a = 20 + -31 -25a = 20 + -31 Combine like terms: 20 + -31 = -11 -25a = -11 Divide each side by '-25'. a = 0.44 Simplifying a = 0.44
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