6(5z-1)-3(z+2)=16(z+2)

Solution for 6(5z-1)-3(z+2)=16(z+2) equation:

Simplifying
6(5z + -1) + -3(z + 2) = 16(z + 2)

Reorder the terms:
6(-1 + 5z) + -3(z + 2) = 16(z + 2)
(-1 * 6 + 5z * 6) + -3(z + 2) = 16(z + 2)
(-6 + 30z) + -3(z + 2) = 16(z + 2)

Reorder the terms:
-6 + 30z + -3(2 + z) = 16(z + 2)
-6 + 30z + (2 * -3 + z * -3) = 16(z + 2)
-6 + 30z + (-6 + -3z) = 16(z + 2)

Reorder the terms:
-6 + -6 + 30z + -3z = 16(z + 2)

Combine like terms: -6 + -6 = -12
-12 + 30z + -3z = 16(z + 2)

Combine like terms: 30z + -3z = 27z
-12 + 27z = 16(z + 2)

Reorder the terms:
-12 + 27z = 16(2 + z)
-12 + 27z = (2 * 16 + z * 16)
-12 + 27z = (32 + 16z)

Solving
-12 + 27z = 32 + 16z

Solving for variable 'z'.

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

Add '-16z' to each side of the equation.
-12 + 27z + -16z = 32 + 16z + -16z

Combine like terms: 27z + -16z = 11z
-12 + 11z = 32 + 16z + -16z

Combine like terms: 16z + -16z = 0
-12 + 11z = 32 + 0
-12 + 11z = 32

Add '12' to each side of the equation.
-12 + 12 + 11z = 32 + 12

Combine like terms: -12 + 12 = 0
0 + 11z = 32 + 12
11z = 32 + 12

Combine like terms: 32 + 12 = 44
11z = 44

Divide each side by '11'.
z = 4

Simplifying
z = 4