3z-4=-7z-14

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Solution for 3z-4=-7z-14 equation:


Simplifying
3z + -4 = -7z + -14

Reorder the terms:
-4 + 3z = -7z + -14

Reorder the terms:
-4 + 3z = -14 + -7z

Solving
-4 + 3z = -14 + -7z

Solving for variable 'z'.

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

Add '7z' to each side of the equation.
-4 + 3z + 7z = -14 + -7z + 7z

Combine like terms: 3z + 7z = 10z
-4 + 10z = -14 + -7z + 7z

Combine like terms: -7z + 7z = 0
-4 + 10z = -14 + 0
-4 + 10z = -14

Add '4' to each side of the equation.
-4 + 4 + 10z = -14 + 4

Combine like terms: -4 + 4 = 0
0 + 10z = -14 + 4
10z = -14 + 4

Combine like terms: -14 + 4 = -10
10z = -10

Divide each side by '10'.
z = -1

Simplifying
z = -1

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