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Simplifying -5(8 + 4v) = -3 + -6(-5 + -3v) (8 * -5 + 4v * -5) = -3 + -6(-5 + -3v) (-40 + -20v) = -3 + -6(-5 + -3v) -40 + -20v = -3 + (-5 * -6 + -3v * -6) -40 + -20v = -3 + (30 + 18v) Combine like terms: -3 + 30 = 27 -40 + -20v = 27 + 18v Solving -40 + -20v = 27 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -40 + -20v + -18v = 27 + 18v + -18v Combine like terms: -20v + -18v = -38v -40 + -38v = 27 + 18v + -18v Combine like terms: 18v + -18v = 0 -40 + -38v = 27 + 0 -40 + -38v = 27 Add '40' to each side of the equation. -40 + 40 + -38v = 27 + 40 Combine like terms: -40 + 40 = 0 0 + -38v = 27 + 40 -38v = 27 + 40 Combine like terms: 27 + 40 = 67 -38v = 67 Divide each side by '-38'. v = -1.763157895 Simplifying v = -1.763157895
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