5z+2-z=1+3z+6

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Solution for 5z+2-z=1+3z+6 equation: 


Simplifying
5z + 2 + -1z = 1 + 3z + 6

Reorder the terms:
2 + 5z + -1z = 1 + 3z + 6

Combine like terms: 5z + -1z = 4z
2 + 4z = 1 + 3z + 6

Reorder the terms:
2 + 4z = 1 + 6 + 3z

Combine like terms: 1 + 6 = 7
2 + 4z = 7 + 3z

Solving
2 + 4z = 7 + 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.
2 + 4z + -3z = 7 + 3z + -3z

Combine like terms: 4z + -3z = 1z
2 + 1z = 7 + 3z + -3z

Combine like terms: 3z + -3z = 0
2 + 1z = 7 + 0
2 + 1z = 7

Add '-2' to each side of the equation.
2 + -2 + 1z = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 1z = 7 + -2
1z = 7 + -2

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

Divide each side by '1'.
z = 5

Simplifying
z = 5

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