3=3z-3(7z+2)

Solution for 3=3z-3(7z+2) equation:

Simplifying
3 = 3z + -3(7z + 2)

Reorder the terms:
3 = 3z + -3(2 + 7z)
3 = 3z + (2 * -3 + 7z * -3)
3 = 3z + (-6 + -21z)

Reorder the terms:
3 = -6 + 3z + -21z

Combine like terms: 3z + -21z = -18z
3 = -6 + -18z

Solving
3 = -6 + -18z

Solving for variable 'z'.

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

Add '18z' to each side of the equation.
3 + 18z = -6 + -18z + 18z

Combine like terms: -18z + 18z = 0
3 + 18z = -6 + 0
3 + 18z = -6

Add '-3' to each side of the equation.
3 + -3 + 18z = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 18z = -6 + -3
18z = -6 + -3

Combine like terms: -6 + -3 = -9
18z = -9

Divide each side by '18'.
z = -0.5

Simplifying
z = -0.5