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Simplifying -486 = -8(7v + 5) + 2 Reorder the terms: -486 = -8(5 + 7v) + 2 -486 = (5 * -8 + 7v * -8) + 2 -486 = (-40 + -56v) + 2 Reorder the terms: -486 = -40 + 2 + -56v Combine like terms: -40 + 2 = -38 -486 = -38 + -56v Solving -486 = -38 + -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. -486 + 56v = -38 + -56v + 56v Combine like terms: -56v + 56v = 0 -486 + 56v = -38 + 0 -486 + 56v = -38 Add '486' to each side of the equation. -486 + 486 + 56v = -38 + 486 Combine like terms: -486 + 486 = 0 0 + 56v = -38 + 486 56v = -38 + 486 Combine like terms: -38 + 486 = 448 56v = 448 Divide each side by '56'. v = 8 Simplifying v = 8
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