6z+2=z-5

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Solution for 6z+2=z-5 equation:


Simplifying
6z + 2 = z + -5

Reorder the terms:
2 + 6z = z + -5

Reorder the terms:
2 + 6z = -5 + z

Solving
2 + 6z = -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.
2 + 6z + -1z = -5 + z + -1z

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

Combine like terms: z + -1z = 0
2 + 5z = -5 + 0
2 + 5z = -5

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

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

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

Divide each side by '5'.
z = -1.4

Simplifying
z = -1.4

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