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Simplifying 200 = -8(5 + 7v) + 8 200 = (5 * -8 + 7v * -8) + 8 200 = (-40 + -56v) + 8 Reorder the terms: 200 = -40 + 8 + -56v Combine like terms: -40 + 8 = -32 200 = -32 + -56v Solving 200 = -32 + -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. 200 + 56v = -32 + -56v + 56v Combine like terms: -56v + 56v = 0 200 + 56v = -32 + 0 200 + 56v = -32 Add '-200' to each side of the equation. 200 + -200 + 56v = -32 + -200 Combine like terms: 200 + -200 = 0 0 + 56v = -32 + -200 56v = -32 + -200 Combine like terms: -32 + -200 = -232 56v = -232 Divide each side by '56'. v = -4.142857143 Simplifying v = -4.142857143
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