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Simplifying -378 = -6(8a + 7) Reorder the terms: -378 = -6(7 + 8a) -378 = (7 * -6 + 8a * -6) -378 = (-42 + -48a) Solving -378 = -42 + -48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48a' to each side of the equation. -378 + 48a = -42 + -48a + 48a Combine like terms: -48a + 48a = 0 -378 + 48a = -42 + 0 -378 + 48a = -42 Add '378' to each side of the equation. -378 + 378 + 48a = -42 + 378 Combine like terms: -378 + 378 = 0 0 + 48a = -42 + 378 48a = -42 + 378 Combine like terms: -42 + 378 = 336 48a = 336 Divide each side by '48'. a = 7 Simplifying a = 7
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