3z-7=4z-4

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


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

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

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

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

Combine like terms: 3z + -4z = -1z
-7 + -1z = -4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-7 + -1z = -4 + 0
-7 + -1z = -4

Add '7' to each side of the equation.
-7 + 7 + -1z = -4 + 7

Combine like terms: -7 + 7 = 0
0 + -1z = -4 + 7
-1z = -4 + 7

Combine like terms: -4 + 7 = 3
-1z = 3

Divide each side by '-1'.
z = -3

Simplifying
z = -3

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