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Simplifying 24 + 5v = -5(8 + -1v) + 8v 24 + 5v = (8 * -5 + -1v * -5) + 8v 24 + 5v = (-40 + 5v) + 8v Combine like terms: 5v + 8v = 13v 24 + 5v = -40 + 13v Solving 24 + 5v = -40 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 24 + 5v + -13v = -40 + 13v + -13v Combine like terms: 5v + -13v = -8v 24 + -8v = -40 + 13v + -13v Combine like terms: 13v + -13v = 0 24 + -8v = -40 + 0 24 + -8v = -40 Add '-24' to each side of the equation. 24 + -24 + -8v = -40 + -24 Combine like terms: 24 + -24 = 0 0 + -8v = -40 + -24 -8v = -40 + -24 Combine like terms: -40 + -24 = -64 -8v = -64 Divide each side by '-8'. v = 8 Simplifying v = 8
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