4z+5=6z-7

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


Simplifying
4z + 5 = 6z + -7

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

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

Solving
5 + 4z = -7 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
5 + 4z + -6z = -7 + 6z + -6z

Combine like terms: 4z + -6z = -2z
5 + -2z = -7 + 6z + -6z

Combine like terms: 6z + -6z = 0
5 + -2z = -7 + 0
5 + -2z = -7

Add '-5' to each side of the equation.
5 + -5 + -2z = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -2z = -7 + -5
-2z = -7 + -5

Combine like terms: -7 + -5 = -12
-2z = -12

Divide each side by '-2'.
z = 6

Simplifying
z = 6

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