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Simplifying 8 = 8v + -5(v + 8) Reorder the terms: 8 = 8v + -5(8 + v) 8 = 8v + (8 * -5 + v * -5) 8 = 8v + (-40 + -5v) Reorder the terms: 8 = -40 + 8v + -5v Combine like terms: 8v + -5v = 3v 8 = -40 + 3v Solving 8 = -40 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 8 + -3v = -40 + 3v + -3v Combine like terms: 3v + -3v = 0 8 + -3v = -40 + 0 8 + -3v = -40 Add '-8' to each side of the equation. 8 + -8 + -3v = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -3v = -40 + -8 -3v = -40 + -8 Combine like terms: -40 + -8 = -48 -3v = -48 Divide each side by '-3'. v = 16 Simplifying v = 16
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