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Simplifying -7(-8v + -2) = -378 Reorder the terms: -7(-2 + -8v) = -378 (-2 * -7 + -8v * -7) = -378 (14 + 56v) = -378 Solving 14 + 56v = -378 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 56v = -378 + -14 Combine like terms: 14 + -14 = 0 0 + 56v = -378 + -14 56v = -378 + -14 Combine like terms: -378 + -14 = -392 56v = -392 Divide each side by '56'. v = -7 Simplifying v = -7
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