4z+7=7z-4z

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


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

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

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

Solving
7 + 4z = 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
7 + 4z + -3z = 3z + -3z

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

Combine like terms: 3z + -3z = 0
7 + 1z = 0

Add '-7' to each side of the equation.
7 + -7 + 1z = 0 + -7

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

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

Divide each side by '1'.
z = -7

Simplifying
z = -7

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