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

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

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

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

Reorder the terms:
-6 + 30z + -3(6 + z) = 2z + 1
-6 + 30z + (6 * -3 + z * -3) = 2z + 1
-6 + 30z + (-18 + -3z) = 2z + 1

Reorder the terms:
-6 + -18 + 30z + -3z = 2z + 1

Combine like terms: -6 + -18 = -24
-24 + 30z + -3z = 2z + 1

Combine like terms: 30z + -3z = 27z
-24 + 27z = 2z + 1

Reorder the terms:
-24 + 27z = 1 + 2z

Solving
-24 + 27z = 1 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-24 + 27z + -2z = 1 + 2z + -2z

Combine like terms: 27z + -2z = 25z
-24 + 25z = 1 + 2z + -2z

Combine like terms: 2z + -2z = 0
-24 + 25z = 1 + 0
-24 + 25z = 1

Add '24' to each side of the equation.
-24 + 24 + 25z = 1 + 24

Combine like terms: -24 + 24 = 0
0 + 25z = 1 + 24
25z = 1 + 24

Combine like terms: 1 + 24 = 25
25z = 25

Divide each side by '25'.
z = 1

Simplifying
z = 1