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Simplifying -8(4v + 5) = 216 Reorder the terms: -8(5 + 4v) = 216 (5 * -8 + 4v * -8) = 216 (-40 + -32v) = 216 Solving -40 + -32v = 216 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -32v = 216 + 40 Combine like terms: -40 + 40 = 0 0 + -32v = 216 + 40 -32v = 216 + 40 Combine like terms: 216 + 40 = 256 -32v = 256 Divide each side by '-32'. v = -8 Simplifying v = -8
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