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Simplifying -386 = 7(8v + -7) + -1 Reorder the terms: -386 = 7(-7 + 8v) + -1 -386 = (-7 * 7 + 8v * 7) + -1 -386 = (-49 + 56v) + -1 Reorder the terms: -386 = -49 + -1 + 56v Combine like terms: -49 + -1 = -50 -386 = -50 + 56v Solving -386 = -50 + 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. -386 + -56v = -50 + 56v + -56v Combine like terms: 56v + -56v = 0 -386 + -56v = -50 + 0 -386 + -56v = -50 Add '386' to each side of the equation. -386 + 386 + -56v = -50 + 386 Combine like terms: -386 + 386 = 0 0 + -56v = -50 + 386 -56v = -50 + 386 Combine like terms: -50 + 386 = 336 -56v = 336 Divide each side by '-56'. v = -6 Simplifying v = -6
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