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Simplifying -24 = -4v + 8(v + -5) Reorder the terms: -24 = -4v + 8(-5 + v) -24 = -4v + (-5 * 8 + v * 8) -24 = -4v + (-40 + 8v) Reorder the terms: -24 = -40 + -4v + 8v Combine like terms: -4v + 8v = 4v -24 = -40 + 4v Solving -24 = -40 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -24 + -4v = -40 + 4v + -4v Combine like terms: 4v + -4v = 0 -24 + -4v = -40 + 0 -24 + -4v = -40 Add '24' to each side of the equation. -24 + 24 + -4v = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -4v = -40 + 24 -4v = -40 + 24 Combine like terms: -40 + 24 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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