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Let’s check out your problem:
Which expressions are equivalent to
4
(
−
5
z
+
2
)
+
(
−
6
)
4(-5z+2)+(-6)
4
(
−
5
z
+
2
)
+
(
−
6
)
?
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Math Problems
Grade 7
Identify equivalent linear expressions I
Full solution
Q.
Which expressions are equivalent to
4
(
−
5
z
+
2
)
+
(
−
6
)
4(-5z+2)+(-6)
4
(
−
5
z
+
2
)
+
(
−
6
)
?
Distribute
4
4
4
:
Step
1
1
1
: Distribute
4
4
4
into the parentheses.
\newline
4
(
−
5
z
)
+
4
(
2
)
=
−
20
z
+
8
4(-5z) + 4(2) = -20z + 8
4
(
−
5
z
)
+
4
(
2
)
=
−
20
z
+
8
Add constant term:
Step
2
2
2
: Add the constant term outside the parentheses.
\newline
−
20
z
+
8
+
(
−
6
)
=
−
20
z
+
2
-20z + 8 + (-6) = -20z + 2
−
20
z
+
8
+
(
−
6
)
=
−
20
z
+
2
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