5z-7=4z+6

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Solution for 5z-7=4z+6 equation:


Simplifying
5z + -7 = 4z + 6

Reorder the terms:
-7 + 5z = 4z + 6

Reorder the terms:
-7 + 5z = 6 + 4z

Solving
-7 + 5z = 6 + 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 + 5z + -4z = 6 + 4z + -4z

Combine like terms: 5z + -4z = 1z
-7 + 1z = 6 + 4z + -4z

Combine like terms: 4z + -4z = 0
-7 + 1z = 6 + 0
-7 + 1z = 6

Add '7' to each side of the equation.
-7 + 7 + 1z = 6 + 7

Combine like terms: -7 + 7 = 0
0 + 1z = 6 + 7
1z = 6 + 7

Combine like terms: 6 + 7 = 13
1z = 13

Divide each side by '1'.
z = 13

Simplifying
z = 13

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