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Simplifying 40 + -9 = 6a + 7 Combine like terms: 40 + -9 = 31 31 = 6a + 7 Reorder the terms: 31 = 7 + 6a Solving 31 = 7 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 31 + -6a = 7 + 6a + -6a Combine like terms: 6a + -6a = 0 31 + -6a = 7 + 0 31 + -6a = 7 Add '-31' to each side of the equation. 31 + -31 + -6a = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -6a = 7 + -31 -6a = 7 + -31 Combine like terms: 7 + -31 = -24 -6a = -24 Divide each side by '-6'. a = 4 Simplifying a = 4
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