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Simplifying -24 = -7v + 5(v + -8) Reorder the terms: -24 = -7v + 5(-8 + v) -24 = -7v + (-8 * 5 + v * 5) -24 = -7v + (-40 + 5v) Reorder the terms: -24 = -40 + -7v + 5v Combine like terms: -7v + 5v = -2v -24 = -40 + -2v Solving -24 = -40 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -24 + 2v = -40 + -2v + 2v Combine like terms: -2v + 2v = 0 -24 + 2v = -40 + 0 -24 + 2v = -40 Add '24' to each side of the equation. -24 + 24 + 2v = -40 + 24 Combine like terms: -24 + 24 = 0 0 + 2v = -40 + 24 2v = -40 + 24 Combine like terms: -40 + 24 = -16 2v = -16 Divide each side by '2'. v = -8 Simplifying v = -8
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