Question 631564
Solve the equation and check the solution?  
4(5z-1)-3(z+6)=10(z+1)

Multiply:

4 * 5z = 20z

4 * -1 = -4

-3 * z = -3z

-3 * 6 = -18

10 * z = 10z

10 * 1 = 10

Therefore:

20z - 4 - 3z - 18 = 10z + 10

Combine like terms:

20z - 3z = 17z

-4 - 18 = -22

We now have:

17z - 22 = 10z + 10

Subtract 10z from each side of the equation.

17z - 22 - 10z = 10z + 10 - 10z

Combine like terms:

17z - 10z = 7z

10z - 10z = 0

Therefore:

7z - 22 = 10

Add 22 to each side of the equation.

7z - 22 + 22 = 10 + 22

Combine like terms:

-22 + 22 = 0

10 + 22 = 32

We now have:

7z = 32

Divide each side by 7

7z/7 = 32/7


The Answer:

z = 32/7



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