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Simplifying -8(5 + -4v) = -1 + -7v (5 * -8 + -4v * -8) = -1 + -7v (-40 + 32v) = -1 + -7v Solving -40 + 32v = -1 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -40 + 32v + 7v = -1 + -7v + 7v Combine like terms: 32v + 7v = 39v -40 + 39v = -1 + -7v + 7v Combine like terms: -7v + 7v = 0 -40 + 39v = -1 + 0 -40 + 39v = -1 Add '40' to each side of the equation. -40 + 40 + 39v = -1 + 40 Combine like terms: -40 + 40 = 0 0 + 39v = -1 + 40 39v = -1 + 40 Combine like terms: -1 + 40 = 39 39v = 39 Divide each side by '39'. v = 1 Simplifying v = 1
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