-4z-5.1=-29.6+3z

Solution for -4z-5.1=-29.6+3z equation:

Simplifying
-4z + -5.1 = -29.6 + 3z

Reorder the terms:
-5.1 + -4z = -29.6 + 3z

Solving
-5.1 + -4z = -29.6 + 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.
-5.1 + -4z + -3z = -29.6 + 3z + -3z

Combine like terms: -4z + -3z = -7z
-5.1 + -7z = -29.6 + 3z + -3z

Combine like terms: 3z + -3z = 0
-5.1 + -7z = -29.6 + 0
-5.1 + -7z = -29.6

Add '5.1' to each side of the equation.
-5.1 + 5.1 + -7z = -29.6 + 5.1

Combine like terms: -5.1 + 5.1 = 0.0
0.0 + -7z = -29.6 + 5.1
-7z = -29.6 + 5.1

Combine like terms: -29.6 + 5.1 = -24.5
-7z = -24.5

Divide each side by '-7'.
z = 3.5

Simplifying
z = 3.5