Solve the following equation for \( B \) \[ h=m+\frac{1}{5} r B \]

To solve for \( B \) in the equation \( h = m + \frac{1}{5} r B \), we first isolate the term involving \( B \). Subtract \( m \) from both sides: \[ h - m = \frac{1}{5} r B \] Next, to eliminate the fraction, multiply both sides by 5: \[ 5(h - m) = r B \] Now, divide both sides by \( r \) (assuming \( r \neq 0 \)): \[ B = \frac{5(h - m)}{r} \] And there you have it! \( B \) is isolated and expressed in terms of \( h \), \( m \), and \( r \). First Line: This equation demonstrates how simple algebraic manipulation can help isolate a variable. By performing operations like addition, subtraction, multiplication, and division systematically, you'll find the value of \( B \) clearly. Second Line: In real life, similar equations might pop up in various fields like physics, economics, or engineering, where variables represent quantities that affect the solution of a problem. Understanding how to rearrange equations can be essential for problem-solving!