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Simplifying 31 + 7a = -4(2 + 8a) 31 + 7a = (2 * -4 + 8a * -4) 31 + 7a = (-8 + -32a) Solving 31 + 7a = -8 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. 31 + 7a + 32a = -8 + -32a + 32a Combine like terms: 7a + 32a = 39a 31 + 39a = -8 + -32a + 32a Combine like terms: -32a + 32a = 0 31 + 39a = -8 + 0 31 + 39a = -8 Add '-31' to each side of the equation. 31 + -31 + 39a = -8 + -31 Combine like terms: 31 + -31 = 0 0 + 39a = -8 + -31 39a = -8 + -31 Combine like terms: -8 + -31 = -39 39a = -39 Divide each side by '39'. a = -1 Simplifying a = -1
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