4z-2=7z+4

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Solution for 4z-2=7z+4 equation:


Simplifying
4z + -2 = 7z + 4

Reorder the terms:
-2 + 4z = 7z + 4

Reorder the terms:
-2 + 4z = 4 + 7z

Solving
-2 + 4z = 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.
-2 + 4z + -7z = 4 + 7z + -7z

Combine like terms: 4z + -7z = -3z
-2 + -3z = 4 + 7z + -7z

Combine like terms: 7z + -7z = 0
-2 + -3z = 4 + 0
-2 + -3z = 4

Add '2' to each side of the equation.
-2 + 2 + -3z = 4 + 2

Combine like terms: -2 + 2 = 0
0 + -3z = 4 + 2
-3z = 4 + 2

Combine like terms: 4 + 2 = 6
-3z = 6

Divide each side by '-3'.
z = -2

Simplifying
z = -2

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