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