Question

If my equation is 15 + 2m = 4
What does m equal?

Answer 1

If my question is 3/2 ( 5 + 2f ) = 2 + 2f
What does f equal?

Answer 2

To solve the equation \( 15 + 2m = 4 \), follow these steps:

1. Subtract 15 from both sides:
\[
2m = 4 - 15
\]
\[
2m = -11
\]

2. Divide both sides by 2:
\[
m = \frac{-11}{2}
\]

Thus, \( m = -5.5 \).

Answer 3

To solve the equation

\[
\frac{3}{2} (5 + 2f) = 2 + 2f,
\]

let's first distribute \(\frac{3}{2}\) on the left side:

\[
\frac{3}{2} \cdot 5 + \frac{3}{2} \cdot 2f = 2 + 2f.
\]

This simplifies to:

\[
\frac{15}{2} + 3f = 2 + 2f.
\]

Next, let's isolate \(f\) by moving all \(f\) terms to one side and constant terms to the other. First, subtract \(2f\) from both sides:

\[
\frac{15}{2} + 3f - 2f = 2,
\]

which simplifies to:

\[
\frac{15}{2} + f = 2.
\]

Now, subtract \(\frac{15}{2}\) from both sides. To do the subtraction, we need to express 2 with a denominator of 2:

\[
2 = \frac{4}{2},
\]

so:

\[
f = \frac{4}{2} - \frac{15}{2} = \frac{4 - 15}{2} = \frac{-11}{2}.
\]

Thus,

\[
f = -\frac{11}{2} \quad \text{or} \quad f = -5.5.
\]