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Simplifying -6(4a + -3) = -78 Reorder the terms: -6(-3 + 4a) = -78 (-3 * -6 + 4a * -6) = -78 (18 + -24a) = -78 Solving 18 + -24a = -78 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -24a = -78 + -18 Combine like terms: 18 + -18 = 0 0 + -24a = -78 + -18 -24a = -78 + -18 Combine like terms: -78 + -18 = -96 -24a = -96 Divide each side by '-24'. a = 4 Simplifying a = 4
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