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Simplifying -8(v + 5) = -6v + -44 Reorder the terms: -8(5 + v) = -6v + -44 (5 * -8 + v * -8) = -6v + -44 (-40 + -8v) = -6v + -44 Reorder the terms: -40 + -8v = -44 + -6v Solving -40 + -8v = -44 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -40 + -8v + 6v = -44 + -6v + 6v Combine like terms: -8v + 6v = -2v -40 + -2v = -44 + -6v + 6v Combine like terms: -6v + 6v = 0 -40 + -2v = -44 + 0 -40 + -2v = -44 Add '40' to each side of the equation. -40 + 40 + -2v = -44 + 40 Combine like terms: -40 + 40 = 0 0 + -2v = -44 + 40 -2v = -44 + 40 Combine like terms: -44 + 40 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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