Question: Solve for v. |5v - 15| = 10 If there is more than one solution, separate them with commas. If there…

Solve for v. |5v - 15| = 10 If there is more than one solution, separate them with commas. If there is no solution, click on “No solution”.

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Solution

To solve the equation \( |5v - 15| = 10 \), we consider two cases because of the absolute value. Case 1: \( 5v - 15 = 10 \) Add 15 to both sides: \[ 5v = 25 \] Divide both sides by 5: \[ v = 5 \] Case 2: \( 5v - 15 = -10 \) Add 15 to both sides: \[ 5v = 5 \] Divide both sides by 5: \[ v = 1 \] The solutions are \( v = 5 \) and \( v = 1 \).