Answer:
a = 1
Explanation:
7(5a − 4) = 14 − 8a + 1
Distributive property ( multiply what is inside the parenthesis by 7)
7 * 5a - 7 * 4 = 14 - 8a + 1
35a - 28 = 14 - 8a + 1
Combine like terms
35a - 28 = 15 - 8a
Add 8a on both sides
35a + 8a - 28 = 15 - 8a + 8a
43a - 28 = 15
Add 28 on both sides
43a - 28 + 28 = 15 + 28
43a = 43
Divide by 43 on both sides to isolate the variable
43a/43 = 43/43
a = 1
Check
7(5a − 4) = 14 − 8a + 1
Just substitute the "a" with "1"
7(5 * 1 − 4) = 14 − 8 * 1 + 1
35 - 28 = 14 - 8 + 1
7 = 7 CORRECT
Hope this helped!
have a supercalifragilisticexpialidocious day!