6(5z-1)-3(z+5)=4(z+1)

Solution for 6(5z-1)-3(z+5)=4(z+1) equation:

Simplifying
6(5z + -1) + -3(z + 5) = 4(z + 1)

Reorder the terms:
6(-1 + 5z) + -3(z + 5) = 4(z + 1)
(-1 * 6 + 5z * 6) + -3(z + 5) = 4(z + 1)
(-6 + 30z) + -3(z + 5) = 4(z + 1)

Reorder the terms:
-6 + 30z + -3(5 + z) = 4(z + 1)
-6 + 30z + (5 * -3 + z * -3) = 4(z + 1)
-6 + 30z + (-15 + -3z) = 4(z + 1)

Reorder the terms:
-6 + -15 + 30z + -3z = 4(z + 1)

Combine like terms: -6 + -15 = -21
-21 + 30z + -3z = 4(z + 1)

Combine like terms: 30z + -3z = 27z
-21 + 27z = 4(z + 1)

Reorder the terms:
-21 + 27z = 4(1 + z)
-21 + 27z = (1 * 4 + z * 4)
-21 + 27z = (4 + 4z)

Solving
-21 + 27z = 4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-21 + 27z + -4z = 4 + 4z + -4z

Combine like terms: 27z + -4z = 23z
-21 + 23z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-21 + 23z = 4 + 0
-21 + 23z = 4

Add '21' to each side of the equation.
-21 + 21 + 23z = 4 + 21

Combine like terms: -21 + 21 = 0
0 + 23z = 4 + 21
23z = 4 + 21

Combine like terms: 4 + 21 = 25
23z = 25

Divide each side by '23'.
z = 1.086956522

Simplifying
z = 1.086956522