What does m equal?
11 answers
To solve the equation \( 6m + 4 = 14 \), follow these steps:
Subtract 4 from both sides of the equation to isolate the term with \( m \):
\[ 6m + 4 - 4 = 14 - 4 \]
This simplifies to:
\[ 6m = 10 \]
Next, divide both sides by 6 to solve for \( m \):
\[ m = \frac{10}{6} \]
Simplifying the fraction:
\[ m = \frac{5}{3} \]
So, \( m \) equals \( \frac{5}{3} \).
To solve the equation \( 6m + 4 = 13 \), follow these steps:
Subtract 4 from both sides of the equation:
\[ 6m + 4 - 4 = 13 - 4 \]
This simplifies to:
\[ 6m = 9 \]
Next, divide both sides by 6 to solve for \( m \):
\[ m = \frac{9}{6} \]
Simplifying the fraction:
\[ m = \frac{3}{2} \]
So, \( m \) equals \( \frac{3}{2} \) or 1.5.
To multiply \( 4 \) by \( \frac{5}{4} \):
\[ 4 \cdot \frac{5}{4} = \frac{4 \cdot 5}{4} = \frac{20}{4} = 5 \]
So, \( 4 \cdot \frac{5}{4} = 5 \).
To simplify the expression \( 4 \cdot (2 + 2n) \), you can use the distributive property:
\[ 4 \cdot (2 + 2n) = 4 \cdot 2 + 4 \cdot 2n \]
Calculating each term:
\[ 4 \cdot 2 = 8 \] \[ 4 \cdot 2n = 8n \]
Putting it all together, the expression simplifies to:
\[ 8 + 8n \]
So, \( 4 \cdot (2 + 2n) = 8 + 8n \).
To simplify the expression \( 5 + (3 + 3n) \), you can combine like terms:
\[ 5 + (3 + 3n) = 5 + 3 + 3n \]
Now, combine the constant terms:
\[ 5 + 3 = 8 \]
So, the expression simplifies to:
\[ 8 + 3n \]
Thus, \( 5 + (3 + 3n) = 8 + 3n \).
To calculate \( 2 \cdot \frac{4}{2} \):
Start with the fraction:
\[ \frac{4}{2} = 2 \]
Now multiply:
\[ 2 \cdot 2 = 4 \]
So, \( 2 \cdot \frac{4}{2} = 4 \).
