0.2(15z-5)=4(4z+1)

Solution for 0.2(15z-5)=4(4z+1) equation:

Simplifying
0.2(15z + -5) = 4(4z + 1)

Reorder the terms:
0.2(-5 + 15z) = 4(4z + 1)
(-5 * 0.2 + 15z * 0.2) = 4(4z + 1)
(-1 + 3z) = 4(4z + 1)

Reorder the terms:
-1 + 3z = 4(1 + 4z)
-1 + 3z = (1 * 4 + 4z * 4)
-1 + 3z = (4 + 16z)

Solving
-1 + 3z = 4 + 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.
-1 + 3z + -16z = 4 + 16z + -16z

Combine like terms: 3z + -16z = -13z
-1 + -13z = 4 + 16z + -16z

Combine like terms: 16z + -16z = 0
-1 + -13z = 4 + 0
-1 + -13z = 4

Add '1' to each side of the equation.
-1 + 1 + -13z = 4 + 1

Combine like terms: -1 + 1 = 0
0 + -13z = 4 + 1
-13z = 4 + 1

Combine like terms: 4 + 1 = 5
-13z = 5

Divide each side by '-13'.
z = -0.3846153846

Simplifying
z = -0.3846153846