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Simplifying 378 = 7(6 + -8a) 378 = (6 * 7 + -8a * 7) 378 = (42 + -56a) Solving 378 = 42 + -56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56a' to each side of the equation. 378 + 56a = 42 + -56a + 56a Combine like terms: -56a + 56a = 0 378 + 56a = 42 + 0 378 + 56a = 42 Add '-378' to each side of the equation. 378 + -378 + 56a = 42 + -378 Combine like terms: 378 + -378 = 0 0 + 56a = 42 + -378 56a = 42 + -378 Combine like terms: 42 + -378 = -336 56a = -336 Divide each side by '56'. a = -6 Simplifying a = -6
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