5z+34=-2(1-7z)

Solution for 5z+34=-2(1-7z) equation:

Simplifying
5z + 34 = -2(1 + -7z)

Reorder the terms:
34 + 5z = -2(1 + -7z)
34 + 5z = (1 * -2 + -7z * -2)
34 + 5z = (-2 + 14z)

Solving
34 + 5z = -2 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
34 + 5z + -14z = -2 + 14z + -14z

Combine like terms: 5z + -14z = -9z
34 + -9z = -2 + 14z + -14z

Combine like terms: 14z + -14z = 0
34 + -9z = -2 + 0
34 + -9z = -2

Add '-34' to each side of the equation.
34 + -34 + -9z = -2 + -34

Combine like terms: 34 + -34 = 0
0 + -9z = -2 + -34
-9z = -2 + -34

Combine like terms: -2 + -34 = -36
-9z = -36

Divide each side by '-9'.
z = 4

Simplifying
z = 4