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Let’s check out your problem:
Subtract
−
2
(
3
p
+
2
)
-2(3p + 2)
−
2
(
3
p
+
2
)
from
2
p
+
6
2p + 6
2
p
+
6
.
\newline
Simplify your expression and provide the final result.
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Math Problems
Grade 7
Add integers
Full solution
Q.
Subtract
−
2
(
3
p
+
2
)
-2(3p + 2)
−
2
(
3
p
+
2
)
from
2
p
+
6
2p + 6
2
p
+
6
.
\newline
Simplify your expression and provide the final result.
Distribute
−
2
-2
−
2
:
First, distribute the
−
2
-2
−
2
inside the parentheses to both
3
p
3p
3
p
and
2
2
2
.
\newline
Calculation:
−
2
×
3
p
=
−
6
p
-2 \times 3p = -6p
−
2
×
3
p
=
−
6
p
,
−
2
×
2
=
−
4
-2 \times 2 = -4
−
2
×
2
=
−
4
.
\newline
So,
−
2
(
3
p
+
2
)
-2(3p + 2)
−
2
(
3
p
+
2
)
becomes
−
6
p
−
4
-6p - 4
−
6
p
−
4
.
Subtract and Add Opposite:
Now, subtract
−
6
p
−
4
-6p - 4
−
6
p
−
4
from
2
p
+
6
2p + 6
2
p
+
6
. To do this, change subtraction to addition of the opposite. Calculation:
(
2
p
+
6
)
+
(
6
p
+
4
)
(2p + 6) + (6p + 4)
(
2
p
+
6
)
+
(
6
p
+
4
)
.
Combine Like Terms:
Combine like terms.
\newline
Calculation:
2
p
+
6
p
=
8
p
2p + 6p = 8p
2
p
+
6
p
=
8
p
,
6
+
4
=
10
6 + 4 = 10
6
+
4
=
10
.
\newline
So, the expression becomes
8
p
+
10
8p + 10
8
p
+
10
.
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\newline
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