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Simplifying 8(v + -5) = 7v + 20 Reorder the terms: 8(-5 + v) = 7v + 20 (-5 * 8 + v * 8) = 7v + 20 (-40 + 8v) = 7v + 20 Reorder the terms: -40 + 8v = 20 + 7v Solving -40 + 8v = 20 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -40 + 8v + -7v = 20 + 7v + -7v Combine like terms: 8v + -7v = 1v -40 + 1v = 20 + 7v + -7v Combine like terms: 7v + -7v = 0 -40 + 1v = 20 + 0 -40 + 1v = 20 Add '40' to each side of the equation. -40 + 40 + 1v = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 1v = 20 + 40 1v = 20 + 40 Combine like terms: 20 + 40 = 60 1v = 60 Divide each side by '1'. v = 60 Simplifying v = 60
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