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Simplifying -5(2v + 8) + -2v = -8v + -16 Reorder the terms: -5(8 + 2v) + -2v = -8v + -16 (8 * -5 + 2v * -5) + -2v = -8v + -16 (-40 + -10v) + -2v = -8v + -16 Combine like terms: -10v + -2v = -12v -40 + -12v = -8v + -16 Reorder the terms: -40 + -12v = -16 + -8v Solving -40 + -12v = -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 + -12v + 8v = -16 + -8v + 8v Combine like terms: -12v + 8v = -4v -40 + -4v = -16 + -8v + 8v Combine like terms: -8v + 8v = 0 -40 + -4v = -16 + 0 -40 + -4v = -16 Add '40' to each side of the equation. -40 + 40 + -4v = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -4v = -16 + 40 -4v = -16 + 40 Combine like terms: -16 + 40 = 24 -4v = 24 Divide each side by '-4'. v = -6 Simplifying v = -6
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