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Simplifying 84 = -6(4a + 2) Reorder the terms: 84 = -6(2 + 4a) 84 = (2 * -6 + 4a * -6) 84 = (-12 + -24a) Solving 84 = -12 + -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. 84 + 24a = -12 + -24a + 24a Combine like terms: -24a + 24a = 0 84 + 24a = -12 + 0 84 + 24a = -12 Add '-84' to each side of the equation. 84 + -84 + 24a = -12 + -84 Combine like terms: 84 + -84 = 0 0 + 24a = -12 + -84 24a = -12 + -84 Combine like terms: -12 + -84 = -96 24a = -96 Divide each side by '24'. a = -4 Simplifying a = -4
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