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