6z-7=7z-4

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Solution for 6z-7=7z-4 equation:


Simplifying
6z + -7 = 7z + -4

Reorder the terms:
-7 + 6z = 7z + -4

Reorder the terms:
-7 + 6z = -4 + 7z

Solving
-7 + 6z = -4 + 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.
-7 + 6z + -7z = -4 + 7z + -7z

Combine like terms: 6z + -7z = -1z
-7 + -1z = -4 + 7z + -7z

Combine like terms: 7z + -7z = 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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