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Simplifying -6(a + -8) = 78 Reorder the terms: -6(-8 + a) = 78 (-8 * -6 + a * -6) = 78 (48 + -6a) = 78 Solving 48 + -6a = 78 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -6a = 78 + -48 Combine like terms: 48 + -48 = 0 0 + -6a = 78 + -48 -6a = 78 + -48 Combine like terms: 78 + -48 = 30 -6a = 30 Divide each side by '-6'. a = -5 Simplifying a = -5
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