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Simplifying -5(8 + -1v) = 8v + -19 (8 * -5 + -1v * -5) = 8v + -19 (-40 + 5v) = 8v + -19 Reorder the terms: -40 + 5v = -19 + 8v Solving -40 + 5v = -19 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -40 + 5v + -8v = -19 + 8v + -8v Combine like terms: 5v + -8v = -3v -40 + -3v = -19 + 8v + -8v Combine like terms: 8v + -8v = 0 -40 + -3v = -19 + 0 -40 + -3v = -19 Add '40' to each side of the equation. -40 + 40 + -3v = -19 + 40 Combine like terms: -40 + 40 = 0 0 + -3v = -19 + 40 -3v = -19 + 40 Combine like terms: -19 + 40 = 21 -3v = 21 Divide each side by '-3'. v = -7 Simplifying v = -7
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