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Simplifying -7(6a + -6) = 378 Reorder the terms: -7(-6 + 6a) = 378 (-6 * -7 + 6a * -7) = 378 (42 + -42a) = 378 Solving 42 + -42a = 378 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -42a = 378 + -42 Combine like terms: 42 + -42 = 0 0 + -42a = 378 + -42 -42a = 378 + -42 Combine like terms: 378 + -42 = 336 -42a = 336 Divide each side by '-42'. a = -8 Simplifying a = -8
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