11-3(z-1)=10+z

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Solution for 11-3(z-1)=10+z equation:


Simplifying
11 + -3(z + -1) = 10 + z

Reorder the terms:
11 + -3(-1 + z) = 10 + z
11 + (-1 * -3 + z * -3) = 10 + z
11 + (3 + -3z) = 10 + z

Combine like terms: 11 + 3 = 14
14 + -3z = 10 + z

Solving
14 + -3z = 10 + 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.
14 + -3z + -1z = 10 + z + -1z

Combine like terms: -3z + -1z = -4z
14 + -4z = 10 + z + -1z

Combine like terms: z + -1z = 0
14 + -4z = 10 + 0
14 + -4z = 10

Add '-14' to each side of the equation.
14 + -14 + -4z = 10 + -14

Combine like terms: 14 + -14 = 0
0 + -4z = 10 + -14
-4z = 10 + -14

Combine like terms: 10 + -14 = -4
-4z = -4

Divide each side by '-4'.
z = 1

Simplifying
z = 1

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