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Simplifying -36 + 7v = 5(v + -8) Reorder the terms: -36 + 7v = 5(-8 + v) -36 + 7v = (-8 * 5 + v * 5) -36 + 7v = (-40 + 5v) Solving -36 + 7v = -40 + 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. -36 + 7v + -5v = -40 + 5v + -5v Combine like terms: 7v + -5v = 2v -36 + 2v = -40 + 5v + -5v Combine like terms: 5v + -5v = 0 -36 + 2v = -40 + 0 -36 + 2v = -40 Add '36' to each side of the equation. -36 + 36 + 2v = -40 + 36 Combine like terms: -36 + 36 = 0 0 + 2v = -40 + 36 2v = -40 + 36 Combine like terms: -40 + 36 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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