3(6z-1)-4(z+5)=11(z+1)

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Solution for 3(6z-1)-4(z+5)=11(z+1) equation:


Simplifying
3(6z + -1) + -4(z + 5) = 11(z + 1)

Reorder the terms:
3(-1 + 6z) + -4(z + 5) = 11(z + 1)
(-1 * 3 + 6z * 3) + -4(z + 5) = 11(z + 1)
(-3 + 18z) + -4(z + 5) = 11(z + 1)

Reorder the terms:
-3 + 18z + -4(5 + z) = 11(z + 1)
-3 + 18z + (5 * -4 + z * -4) = 11(z + 1)
-3 + 18z + (-20 + -4z) = 11(z + 1)

Reorder the terms:
-3 + -20 + 18z + -4z = 11(z + 1)

Combine like terms: -3 + -20 = -23
-23 + 18z + -4z = 11(z + 1)

Combine like terms: 18z + -4z = 14z
-23 + 14z = 11(z + 1)

Reorder the terms:
-23 + 14z = 11(1 + z)
-23 + 14z = (1 * 11 + z * 11)
-23 + 14z = (11 + 11z)

Solving
-23 + 14z = 11 + 11z

Solving for variable 'z'.

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

Add '-11z' to each side of the equation.
-23 + 14z + -11z = 11 + 11z + -11z

Combine like terms: 14z + -11z = 3z
-23 + 3z = 11 + 11z + -11z

Combine like terms: 11z + -11z = 0
-23 + 3z = 11 + 0
-23 + 3z = 11

Add '23' to each side of the equation.
-23 + 23 + 3z = 11 + 23

Combine like terms: -23 + 23 = 0
0 + 3z = 11 + 23
3z = 11 + 23

Combine like terms: 11 + 23 = 34
3z = 34

Divide each side by '3'.
z = 11.33333333

Simplifying
z = 11.33333333

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