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Simplifying -8(5 + 7v) = -6(10v + 8) (5 * -8 + 7v * -8) = -6(10v + 8) (-40 + -56v) = -6(10v + 8) Reorder the terms: -40 + -56v = -6(8 + 10v) -40 + -56v = (8 * -6 + 10v * -6) -40 + -56v = (-48 + -60v) Solving -40 + -56v = -48 + -60v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '60v' to each side of the equation. -40 + -56v + 60v = -48 + -60v + 60v Combine like terms: -56v + 60v = 4v -40 + 4v = -48 + -60v + 60v Combine like terms: -60v + 60v = 0 -40 + 4v = -48 + 0 -40 + 4v = -48 Add '40' to each side of the equation. -40 + 40 + 4v = -48 + 40 Combine like terms: -40 + 40 = 0 0 + 4v = -48 + 40 4v = -48 + 40 Combine like terms: -48 + 40 = -8 4v = -8 Divide each side by '4'. v = -2 Simplifying v = -2
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