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Simplifying 8(6v + -5) = v + 7 Reorder the terms: 8(-5 + 6v) = v + 7 (-5 * 8 + 6v * 8) = v + 7 (-40 + 48v) = v + 7 Reorder the terms: -40 + 48v = 7 + v Solving -40 + 48v = 7 + 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 + 48v + -1v = 7 + v + -1v Combine like terms: 48v + -1v = 47v -40 + 47v = 7 + v + -1v Combine like terms: v + -1v = 0 -40 + 47v = 7 + 0 -40 + 47v = 7 Add '40' to each side of the equation. -40 + 40 + 47v = 7 + 40 Combine like terms: -40 + 40 = 0 0 + 47v = 7 + 40 47v = 7 + 40 Combine like terms: 7 + 40 = 47 47v = 47 Divide each side by '47'. v = 1 Simplifying v = 1
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