Question

e) 0,25(58 - m) + m = 34

Explanation:

Step1: Expand the bracket

First, we expand \(0.25(58 - m)\) using the distributive property \(a(b - c)=ab - ac\). So we get \(0.25\times58-0.25m + m = 34\). Calculating \(0.25\times58 = 14.5\), the equation becomes \(14.5-0.25m + m = 34\).

Step2: Combine like terms

Combine the terms with \(m\): \(-0.25m + m=( - 0.25 + 1)m = 0.75m\). So the equation is now \(14.5 + 0.75m = 34\).

Step3: Subtract 14.5 from both sides

Subtract \(14.5\) from both sides of the equation: \(0.75m = 34 - 14.5\). Calculating the right side, \(34 - 14.5 = 19.5\), so we have \(0.75m = 19.5\).

Step4: Solve for m

Divide both sides by \(0.75\): \(m=\frac{19.5}{0.75}\). Calculating this division, \(\frac{19.5}{0.75}=26\).

Answer:

\(m = 26\)