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For each value of v, determine whether it is a solution to (v)/(4)+6=16

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Final answer:

By manipulating the equation (v/4)+6=16, we find that v must equal 40 to be a solution. Any other value for v will not satisfy the equation.

Step-by-step explanation:

To determine whether a given value of v is a solution to the equation (v)/(4)+6=16, we must manipulate the equation to solve for v. Starting with the original equation:

  1. Subtract 6 from both sides of the equation: v/4 = 16 - 6
  2. Calculate the right side: v/4 = 10
  3. Multiply both sides by 4 to solve for v: v = 10 * 4
  4. Therefore, v = 40

As such, v must equal 40 to satisfy the equation. Any other value for v will not satisfy the equation.

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