-(5z-(14z+3))=3+(8z+0)

Solution for -(5z-(14z+3))=3+(8z+0) equation:

Simplifying
-1(5z + -1(14z + 3)) = 3 + (8z + 0)

Reorder the terms:
-1(5z + -1(3 + 14z)) = 3 + (8z + 0)
-1(5z + (3 * -1 + 14z * -1)) = 3 + (8z + 0)
-1(5z + (-3 + -14z)) = 3 + (8z + 0)

Reorder the terms:
-1(-3 + 5z + -14z) = 3 + (8z + 0)

Combine like terms: 5z + -14z = -9z
-1(-3 + -9z) = 3 + (8z + 0)
(-3 * -1 + -9z * -1) = 3 + (8z + 0)
(3 + 9z) = 3 + (8z + 0)

Reorder the terms:
3 + 9z = 3 + (0 + 8z)
Remove the zero:
3 + 9z = 3 + (8z)
3 + 9z = 3 + (8z)

Add '-3' to each side of the equation.
3 + -3 + 9z = 3 + -3 + (8z)

Combine like terms: 3 + -3 = 0
0 + 9z = 3 + -3 + (8z)
9z = 3 + -3 + (8z)

Combine like terms: 3 + -3 = 0
9z = 0 + (8z)
9z = (8z)

Solving
9z = (8z)

Solving for variable 'z'.

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

Add '(-8z)' to each side of the equation.
9z + (-8z) = (8z) + (-8z)

Combine like terms: 9z + (-8z) = 1z
1z = (8z) + (-8z)

Combine like terms: (8z) + (-8z) = 0
1z = 0

Divide each side by '1'.
z = 0

Simplifying
z = 0