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Simplifying 5(v + -8) = v + 12 Reorder the terms: 5(-8 + v) = v + 12 (-8 * 5 + v * 5) = v + 12 (-40 + 5v) = v + 12 Reorder the terms: -40 + 5v = 12 + v Solving -40 + 5v = 12 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -40 + 5v + -1v = 12 + v + -1v Combine like terms: 5v + -1v = 4v -40 + 4v = 12 + v + -1v Combine like terms: v + -1v = 0 -40 + 4v = 12 + 0 -40 + 4v = 12 Add '40' to each side of the equation. -40 + 40 + 4v = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 4v = 12 + 40 4v = 12 + 40 Combine like terms: 12 + 40 = 52 4v = 52 Divide each side by '4'. v = 13 Simplifying v = 13
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