Question

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

Answer 1

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

Answer 2

• m = 1

Step-by-step explanation:

1. Given: 52 = 4(8m - 5) - 8(m - 6)

2. Distributive property 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. Combine like terms: 32m and -8m are a pair of like terms; - 20 and + 48 are other pair of like terms:

• 52 = 24m + 28

4. Subtraction property of equality: subtract 28 from both sides:

• 52 - 28 = 24m

5. Simplify:

• 24 = 24m

6. Division property of equality: divide each side by 24

• 24/24 = m

7. Simplify:

• 1 = m

8. Symmetric property:

• m = 1