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Simplifying -3(5 + 4a) = 31 (5 * -3 + 4a * -3) = 31 (-15 + -12a) = 31 Solving -15 + -12a = 31 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -12a = 31 + 15 Combine like terms: -15 + 15 = 0 0 + -12a = 31 + 15 -12a = 31 + 15 Combine like terms: 31 + 15 = 46 -12a = 46 Divide each side by '-12'. a = -3.833333333 Simplifying a = -3.833333333
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