3z+10-z=10+z+1

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Solution for 3z+10-z=10+z+1 equation:


Simplifying
3z + 10 + -1z = 10 + z + 1

Reorder the terms:
10 + 3z + -1z = 10 + z + 1

Combine like terms: 3z + -1z = 2z
10 + 2z = 10 + z + 1

Reorder the terms:
10 + 2z = 10 + 1 + z

Combine like terms: 10 + 1 = 11
10 + 2z = 11 + z

Solving
10 + 2z = 11 + 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.
10 + 2z + -1z = 11 + z + -1z

Combine like terms: 2z + -1z = 1z
10 + 1z = 11 + z + -1z

Combine like terms: z + -1z = 0
10 + 1z = 11 + 0
10 + 1z = 11

Add '-10' to each side of the equation.
10 + -10 + 1z = 11 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = 11 + -10
1z = 11 + -10

Combine like terms: 11 + -10 = 1
1z = 1

Divide each side by '1'.
z = 1

Simplifying
z = 1

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