Simplify −3/4r + 3 − 5/6r − 6 .

Answer 1

To simplify the expression \( -\frac{3}{4}r + 3 - \frac{5}{6}r - 6 \), you should combine like terms, which means combining the r terms and the constant terms separately. Let's combine the r terms first:

To combine the coefficients of r (\(-\frac{3}{4}\) and \(-\frac{5}{6}\)), you need a common denominator, which is 12 in this case. Convert each fraction to have a denominator of 12:

\[
-\frac{3}{4}r = -\frac{3 \times 3}{4 \times 3}r = -\frac{9}{12}r \\
-\frac{5}{6}r = -\frac{5 \times 2}{6 \times 2}r = -\frac{10}{12}r
\]

Now, combine the r terms:

\[
-\frac{9}{12}r - \frac{10}{12}r = -\frac{9+10}{12}r = -\frac{19}{12}r
\]

Next, combine the constant terms (3 and -6):

\[
3 - 6 = -3
\]

Combining the simplified r terms with the simplified constant terms, the final simplified expression is:

\[
-\frac{19}{12}r - 3
\]

Answer 2

what is that less details okay

Answer 3

Sure, the simplified version of the expression \( -\frac{3}{4}r + 3 - \frac{5}{6}r - 6 \) is:

\( -\frac{19}{12}r - 3 \)

Answer 4

Expand 8(3p + 2) .(1 point)

Answer 5

To expand the expression \( 8(3p + 2) \), distribute the 8 to both terms inside the parentheses:

\( 8 \times 3p = 24p \)

\( 8 \times 2 = 16 \)

So, the expanded form is:

\( 24p + 16 \)

Answer 6

Expand −4(6a − 5) .(1 point)

Answer 7

To expand the expression \( -4(6a - 5) \), distribute the -4 to both terms inside the parentheses:

\( -4 \times 6a = -24a \)

\( -4 \times (-5) = 20 \)

So the expanded form is:

\( -24a + 20 \)

Answer 8

Expand 74(8h+3) .(1 point)