6+3(z-2)=-4z-3

Solution for 6+3(z-2)=-4z-3 equation:

Simplifying
6 + 3(z + -2) = -4z + -3

Reorder the terms:
6 + 3(-2 + z) = -4z + -3
6 + (-2 * 3 + z * 3) = -4z + -3
6 + (-6 + 3z) = -4z + -3

Combine like terms: 6 + -6 = 0
0 + 3z = -4z + -3
3z = -4z + -3

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

Solving
3z = -3 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
3z + 4z = -3 + -4z + 4z

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

Combine like terms: -4z + 4z = 0
7z = -3 + 0
7z = -3

Divide each side by '7'.
z = -0.4285714286

Simplifying
z = -0.4285714286