5(6z-1)-2(z+9)=3(z+1)

Solution for 5(6z-1)-2(z+9)=3(z+1) equation:

Simplifying
5(6z + -1) + -2(z + 9) = 3(z + 1)

Reorder the terms:
5(-1 + 6z) + -2(z + 9) = 3(z + 1)
(-1 * 5 + 6z * 5) + -2(z + 9) = 3(z + 1)
(-5 + 30z) + -2(z + 9) = 3(z + 1)

Reorder the terms:
-5 + 30z + -2(9 + z) = 3(z + 1)
-5 + 30z + (9 * -2 + z * -2) = 3(z + 1)
-5 + 30z + (-18 + -2z) = 3(z + 1)

Reorder the terms:
-5 + -18 + 30z + -2z = 3(z + 1)

Combine like terms: -5 + -18 = -23
-23 + 30z + -2z = 3(z + 1)

Combine like terms: 30z + -2z = 28z
-23 + 28z = 3(z + 1)

Reorder the terms:
-23 + 28z = 3(1 + z)
-23 + 28z = (1 * 3 + z * 3)
-23 + 28z = (3 + 3z)

Solving
-23 + 28z = 3 + 3z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-3z' to each side of the equation.
-23 + 28z + -3z = 3 + 3z + -3z

Combine like terms: 28z + -3z = 25z
-23 + 25z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-23 + 25z = 3 + 0
-23 + 25z = 3

Add '23' to each side of the equation.
-23 + 23 + 25z = 3 + 23

Combine like terms: -23 + 23 = 0
0 + 25z = 3 + 23
25z = 3 + 23

Combine like terms: 3 + 23 = 26
25z = 26

Divide each side by '25'.
z = 1.04

Simplifying
z = 1.04