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Simplifying 31 + -3a = -6[9a + -5] Reorder the terms: 31 + -3a = -6[-5 + 9a] 31 + -3a = [-5 * -6 + 9a * -6] 31 + -3a = [30 + -54a] Solving 31 + -3a = 30 + -54a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54a' to each side of the equation. 31 + -3a + 54a = 30 + -54a + 54a Combine like terms: -3a + 54a = 51a 31 + 51a = 30 + -54a + 54a Combine like terms: -54a + 54a = 0 31 + 51a = 30 + 0 31 + 51a = 30 Add '-31' to each side of the equation. 31 + -31 + 51a = 30 + -31 Combine like terms: 31 + -31 = 0 0 + 51a = 30 + -31 51a = 30 + -31 Combine like terms: 30 + -31 = -1 51a = -1 Divide each side by '51'. a = -0.01960784314 Simplifying a = -0.01960784314
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