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Simplifying 5(v + -8) = -16 + 8v Reorder the terms: 5(-8 + v) = -16 + 8v (-8 * 5 + v * 5) = -16 + 8v (-40 + 5v) = -16 + 8v Solving -40 + 5v = -16 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -40 + 5v + -8v = -16 + 8v + -8v Combine like terms: 5v + -8v = -3v -40 + -3v = -16 + 8v + -8v Combine like terms: 8v + -8v = 0 -40 + -3v = -16 + 0 -40 + -3v = -16 Add '40' to each side of the equation. -40 + 40 + -3v = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -3v = -16 + 40 -3v = -16 + 40 Combine like terms: -16 + 40 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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