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Simplifying 5(4a + 8) = -31 + 7a Reorder the terms: 5(8 + 4a) = -31 + 7a (8 * 5 + 4a * 5) = -31 + 7a (40 + 20a) = -31 + 7a Solving 40 + 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. 40 + 20a + -7a = -31 + 7a + -7a Combine like terms: 20a + -7a = 13a 40 + 13a = -31 + 7a + -7a Combine like terms: 7a + -7a = 0 40 + 13a = -31 + 0 40 + 13a = -31 Add '-40' to each side of the equation. 40 + -40 + 13a = -31 + -40 Combine like terms: 40 + -40 = 0 0 + 13a = -31 + -40 13a = -31 + -40 Combine like terms: -31 + -40 = -71 13a = -71 Divide each side by '13'. a = -5.461538462 Simplifying a = -5.461538462
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