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Simplifying 6(1 + -4a) + -2 = -116 (1 * 6 + -4a * 6) + -2 = -116 (6 + -24a) + -2 = -116 Reorder the terms: 6 + -2 + -24a = -116 Combine like terms: 6 + -2 = 4 4 + -24a = -116 Solving 4 + -24a = -116 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -24a = -116 + -4 Combine like terms: 4 + -4 = 0 0 + -24a = -116 + -4 -24a = -116 + -4 Combine like terms: -116 + -4 = -120 -24a = -120 Divide each side by '-24'. a = 5 Simplifying a = 5
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