14-3z=4z-7

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


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

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

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

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

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

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

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

Combine like terms: -7 + -14 = -21
-7z = -21

Divide each side by '-7'.
z = 3

Simplifying
z = 3

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