If my equation is 15 + 2m = 4

Question

What does m equal?

Answer 1

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 2

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

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,

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