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Simplifying -2 + 7(1 + 4a) = 31 -2 + (1 * 7 + 4a * 7) = 31 -2 + (7 + 28a) = 31 Combine like terms: -2 + 7 = 5 5 + 28a = 31 Solving 5 + 28a = 31 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 28a = 31 + -5 Combine like terms: 5 + -5 = 0 0 + 28a = 31 + -5 28a = 31 + -5 Combine like terms: 31 + -5 = 26 28a = 26 Divide each side by '28'. a = 0.9285714286 Simplifying a = 0.9285714286
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