6(5z-1)-4(z+7)=3(z+1)

Solution for 6(5z-1)-4(z+7)=3(z+1) equation:

Simplifying
6(5z + -1) + -4(z + 7) = 3(z + 1)

Reorder the terms:
6(-1 + 5z) + -4(z + 7) = 3(z + 1)
(-1 * 6 + 5z * 6) + -4(z + 7) = 3(z + 1)
(-6 + 30z) + -4(z + 7) = 3(z + 1)

Reorder the terms:
-6 + 30z + -4(7 + z) = 3(z + 1)
-6 + 30z + (7 * -4 + z * -4) = 3(z + 1)
-6 + 30z + (-28 + -4z) = 3(z + 1)

Reorder the terms:
-6 + -28 + 30z + -4z = 3(z + 1)

Combine like terms: -6 + -28 = -34
-34 + 30z + -4z = 3(z + 1)

Combine like terms: 30z + -4z = 26z
-34 + 26z = 3(z + 1)

Reorder the terms:
-34 + 26z = 3(1 + z)
-34 + 26z = (1 * 3 + z * 3)
-34 + 26z = (3 + 3z)

Solving
-34 + 26z = 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.
-34 + 26z + -3z = 3 + 3z + -3z

Combine like terms: 26z + -3z = 23z
-34 + 23z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-34 + 23z = 3 + 0
-34 + 23z = 3

Add '34' to each side of the equation.
-34 + 34 + 23z = 3 + 34

Combine like terms: -34 + 34 = 0
0 + 23z = 3 + 34
23z = 3 + 34

Combine like terms: 3 + 34 = 37
23z = 37

Divide each side by '23'.
z = 1.608695652

Simplifying
z = 1.608695652