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Simplifying -5(8 + 4v) = -3v + -6(-5 + -3v) (8 * -5 + 4v * -5) = -3v + -6(-5 + -3v) (-40 + -20v) = -3v + -6(-5 + -3v) -40 + -20v = -3v + (-5 * -6 + -3v * -6) -40 + -20v = -3v + (30 + 18v) Reorder the terms: -40 + -20v = 30 + -3v + 18v Combine like terms: -3v + 18v = 15v -40 + -20v = 30 + 15v Solving -40 + -20v = 30 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -40 + -20v + -15v = 30 + 15v + -15v Combine like terms: -20v + -15v = -35v -40 + -35v = 30 + 15v + -15v Combine like terms: 15v + -15v = 0 -40 + -35v = 30 + 0 -40 + -35v = 30 Add '40' to each side of the equation. -40 + 40 + -35v = 30 + 40 Combine like terms: -40 + 40 = 0 0 + -35v = 30 + 40 -35v = 30 + 40 Combine like terms: 30 + 40 = 70 -35v = 70 Divide each side by '-35'. v = -2 Simplifying v = -2
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