7z+3-5z=1+z-6

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Solution for 7z+3-5z=1+z-6 equation:


Simplifying
7z + 3 + -5z = 1 + z + -6

Reorder the terms:
3 + 7z + -5z = 1 + z + -6

Combine like terms: 7z + -5z = 2z
3 + 2z = 1 + z + -6

Reorder the terms:
3 + 2z = 1 + -6 + z

Combine like terms: 1 + -6 = -5
3 + 2z = -5 + z

Solving
3 + 2z = -5 + 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.
3 + 2z + -1z = -5 + z + -1z

Combine like terms: 2z + -1z = 1z
3 + 1z = -5 + z + -1z

Combine like terms: z + -1z = 0
3 + 1z = -5 + 0
3 + 1z = -5

Add '-3' to each side of the equation.
3 + -3 + 1z = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 1z = -5 + -3
1z = -5 + -3

Combine like terms: -5 + -3 = -8
1z = -8

Divide each side by '1'.
z = -8

Simplifying
z = -8

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