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Simplifying 7(3a + 4) = 31 + 9a Reorder the terms: 7(4 + 3a) = 31 + 9a (4 * 7 + 3a * 7) = 31 + 9a (28 + 21a) = 31 + 9a Solving 28 + 21a = 31 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 28 + 21a + -9a = 31 + 9a + -9a Combine like terms: 21a + -9a = 12a 28 + 12a = 31 + 9a + -9a Combine like terms: 9a + -9a = 0 28 + 12a = 31 + 0 28 + 12a = 31 Add '-28' to each side of the equation. 28 + -28 + 12a = 31 + -28 Combine like terms: 28 + -28 = 0 0 + 12a = 31 + -28 12a = 31 + -28 Combine like terms: 31 + -28 = 3 12a = 3 Divide each side by '12'. a = 0.25 Simplifying a = 0.25
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