7z+4=z-3

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Solution for 7z+4=z-3 equation:


Simplifying
7z + 4 = z + -3

Reorder the terms:
4 + 7z = z + -3

Reorder the terms:
4 + 7z = -3 + z

Solving
4 + 7z = -3 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
4 + 7z + -1z = -3 + z + -1z

Combine like terms: 7z + -1z = 6z
4 + 6z = -3 + z + -1z

Combine like terms: z + -1z = 0
4 + 6z = -3 + 0
4 + 6z = -3

Add '-4' to each side of the equation.
4 + -4 + 6z = -3 + -4

Combine like terms: 4 + -4 = 0
0 + 6z = -3 + -4
6z = -3 + -4

Combine like terms: -3 + -4 = -7
6z = -7

Divide each side by '6'.
z = -1.166666667

Simplifying
z = -1.166666667

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