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Simplifying 5(v + -8) = 9v + -4 Reorder the terms: 5(-8 + v) = 9v + -4 (-8 * 5 + v * 5) = 9v + -4 (-40 + 5v) = 9v + -4 Reorder the terms: -40 + 5v = -4 + 9v Solving -40 + 5v = -4 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -40 + 5v + -9v = -4 + 9v + -9v Combine like terms: 5v + -9v = -4v -40 + -4v = -4 + 9v + -9v Combine like terms: 9v + -9v = 0 -40 + -4v = -4 + 0 -40 + -4v = -4 Add '40' to each side of the equation. -40 + 40 + -4v = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -4v = -4 + 40 -4v = -4 + 40 Combine like terms: -4 + 40 = 36 -4v = 36 Divide each side by '-4'. v = -9 Simplifying v = -9
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