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Simplifying [5 + -4a] = 8a + -31 Remove brackets around [5 + -4a] 5 + -4a = 8a + -31 Reorder the terms: 5 + -4a = -31 + 8a Solving 5 + -4a = -31 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 5 + -4a + -8a = -31 + 8a + -8a Combine like terms: -4a + -8a = -12a 5 + -12a = -31 + 8a + -8a Combine like terms: 8a + -8a = 0 5 + -12a = -31 + 0 5 + -12a = -31 Add '-5' to each side of the equation. 5 + -5 + -12a = -31 + -5 Combine like terms: 5 + -5 = 0 0 + -12a = -31 + -5 -12a = -31 + -5 Combine like terms: -31 + -5 = -36 -12a = -36 Divide each side by '-12'. a = 3 Simplifying a = 3
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