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madam [21]
4 years ago
10

What is the value of z in the equation 2(4z -6 - 6) = 166 - 46?

Mathematics
2 answers:
Luda [366]4 years ago
5 0
1) Start by simplifying the equation:
<span>2(4z - 6 - 6) = 166 - 46
</span>2(4z - 12) = 120

2) Distribute the 2 on the left to the 4z and 12 using the distributive property and simplify:
2(4z - 12) = 120
2(4z) - (2)(12) = 120
8z - 24 = 120

3) Find the value of z by getting it by itself. Add 24 to both sides, then divide both sides by 8:
8z - 24 = 120
8z = 144
z = 18

---------

Answer: z = 18
GenaCL600 [577]4 years ago
5 0
2(4z -6 -6)= 166 -46
(8z - 12 - 12) = 120
8z - 24 = 120
add 24 to both sides
8z = 120 + 24
8z = 144        divide both sides by 8

z=18
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