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MakcuM [25]
4 years ago
13

Solve for 52=4(8m-5)-8(m-6)

Mathematics
2 answers:
ira [324]4 years ago
7 0

Answer:

  • <u>m = 1</u>

Explanation:

1. <u>Given</u>: 52 = 4(8m - 5) - 8(m - 6)

2. <u>Distributive property</u> on the two binomials: multiply 4 times each term inside the first binomial and multiply - 8 times each term inside the second binomial:

  •    52 = 32m - 20 - 8m + 48

3. <u>Combine like terms</u>: 32m and -8m are a pair of like terms; - 20 and + 48 are other pair of like terms:

  • 52 = 24m + 28

4. <u>Subtraction property of equality</u>: subtract 28 from both sides:

  • 52 - 28 = 24m

5. <u>Simplify</u>:

  • 24 = 24m

6. <u>Division property of equality</u>: divide each side by 24

  • 24/24 = m

7. <u>Simplify</u>:

  • 1 = m

8. <u>Symmetric property</u>:

  • m = 1
olga nikolaevna [1]4 years ago
7 0
First solve the parentheses 4(8m-5)
4•8m=32m
4•-5=-20
32m-5
Now do the other parentheses
-8(m-6)
8•m=8m
-8•-6=48
Now you have to m variables now you’re going solve for me
32m-5=8m+48
40m-5=48+53
Now solve add 5 to both side of the 48
40m+48=53
Now -48 to 53 you get 5 so now you divide 5 from 40 so
M=8
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