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Simplifying -7 + 8(2v + -5) = -33 Reorder the terms: -7 + 8(-5 + 2v) = -33 -7 + (-5 * 8 + 2v * 8) = -33 -7 + (-40 + 16v) = -33 Combine like terms: -7 + -40 = -47 -47 + 16v = -33 Solving -47 + 16v = -33 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 16v = -33 + 47 Combine like terms: -47 + 47 = 0 0 + 16v = -33 + 47 16v = -33 + 47 Combine like terms: -33 + 47 = 14 16v = 14 Divide each side by '16'. v = 0.875 Simplifying v = 0.875
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