3z+2=-z-14

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Solution for 3z+2=-z-14 equation:


Simplifying
3z + 2 = -1z + -14

Reorder the terms:
2 + 3z = -1z + -14

Reorder the terms:
2 + 3z = -14 + -1z

Solving
2 + 3z = -14 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
2 + 3z + z = -14 + -1z + z

Combine like terms: 3z + z = 4z
2 + 4z = -14 + -1z + z

Combine like terms: -1z + z = 0
2 + 4z = -14 + 0
2 + 4z = -14

Add '-2' to each side of the equation.
2 + -2 + 4z = -14 + -2

Combine like terms: 2 + -2 = 0
0 + 4z = -14 + -2
4z = -14 + -2

Combine like terms: -14 + -2 = -16
4z = -16

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

Simplifying
z = -4

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