3z+16=11z+56

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Solution for 3z+16=11z+56 equation:


Simplifying
3z + 16 = 11z + 56

Reorder the terms:
16 + 3z = 11z + 56

Reorder the terms:
16 + 3z = 56 + 11z

Solving
16 + 3z = 56 + 11z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-11z' to each side of the equation.
16 + 3z + -11z = 56 + 11z + -11z

Combine like terms: 3z + -11z = -8z
16 + -8z = 56 + 11z + -11z

Combine like terms: 11z + -11z = 0
16 + -8z = 56 + 0
16 + -8z = 56

Add '-16' to each side of the equation.
16 + -16 + -8z = 56 + -16

Combine like terms: 16 + -16 = 0
0 + -8z = 56 + -16
-8z = 56 + -16

Combine like terms: 56 + -16 = 40
-8z = 40

Divide each side by '-8'.
z = -5

Simplifying
z = -5

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