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Simplifying -5(-3v + 8) + -4v = 5(v + -5) + -7 Reorder the terms: -5(8 + -3v) + -4v = 5(v + -5) + -7 (8 * -5 + -3v * -5) + -4v = 5(v + -5) + -7 (-40 + 15v) + -4v = 5(v + -5) + -7 Combine like terms: 15v + -4v = 11v -40 + 11v = 5(v + -5) + -7 Reorder the terms: -40 + 11v = 5(-5 + v) + -7 -40 + 11v = (-5 * 5 + v * 5) + -7 -40 + 11v = (-25 + 5v) + -7 Reorder the terms: -40 + 11v = -25 + -7 + 5v Combine like terms: -25 + -7 = -32 -40 + 11v = -32 + 5v Solving -40 + 11v = -32 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -40 + 11v + -5v = -32 + 5v + -5v Combine like terms: 11v + -5v = 6v -40 + 6v = -32 + 5v + -5v Combine like terms: 5v + -5v = 0 -40 + 6v = -32 + 0 -40 + 6v = -32 Add '40' to each side of the equation. -40 + 40 + 6v = -32 + 40 Combine like terms: -40 + 40 = 0 0 + 6v = -32 + 40 6v = -32 + 40 Combine like terms: -32 + 40 = 8 6v = 8 Divide each side by '6'. v = 1.333333333 Simplifying v = 1.333333333
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