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Simplifying 5(1 + 4a) = 31 + 7a (1 * 5 + 4a * 5) = 31 + 7a (5 + 20a) = 31 + 7a Solving 5 + 20a = 31 + 7a 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. 5 + 20a + -7a = 31 + 7a + -7a Combine like terms: 20a + -7a = 13a 5 + 13a = 31 + 7a + -7a Combine like terms: 7a + -7a = 0 5 + 13a = 31 + 0 5 + 13a = 31 Add '-5' to each side of the equation. 5 + -5 + 13a = 31 + -5 Combine like terms: 5 + -5 = 0 0 + 13a = 31 + -5 13a = 31 + -5 Combine like terms: 31 + -5 = 26 13a = 26 Divide each side by '13'. a = 2 Simplifying a = 2
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