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Simplifying 31 = 7a + 42b Solving 31 = 7a + 42b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 31 + -7a = 7a + -7a + 42b Combine like terms: 7a + -7a = 0 31 + -7a = 0 + 42b 31 + -7a = 42b Add '-31' to each side of the equation. 31 + -31 + -7a = -31 + 42b Combine like terms: 31 + -31 = 0 0 + -7a = -31 + 42b -7a = -31 + 42b Divide each side by '-7'. a = 4.428571429 + -6b Simplifying a = 4.428571429 + -6b
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