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Simplifying 8a + 12 = -3a + -4 + 31 Reorder the terms: 12 + 8a = -3a + -4 + 31 Reorder the terms: 12 + 8a = -4 + 31 + -3a Combine like terms: -4 + 31 = 27 12 + 8a = 27 + -3a Solving 12 + 8a = 27 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 12 + 8a + 3a = 27 + -3a + 3a Combine like terms: 8a + 3a = 11a 12 + 11a = 27 + -3a + 3a Combine like terms: -3a + 3a = 0 12 + 11a = 27 + 0 12 + 11a = 27 Add '-12' to each side of the equation. 12 + -12 + 11a = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 11a = 27 + -12 11a = 27 + -12 Combine like terms: 27 + -12 = 15 11a = 15 Divide each side by '11'. a = 1.363636364 Simplifying a = 1.363636364
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