6(z+3)=51+3z

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Solution for 6(z+3)=51+3z equation: 


Simplifying
6(z + 3) = 51 + 3z

Reorder the terms:
6(3 + z) = 51 + 3z
(3 * 6 + z * 6) = 51 + 3z
(18 + 6z) = 51 + 3z

Solving
18 + 6z = 51 + 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.
18 + 6z + -3z = 51 + 3z + -3z

Combine like terms: 6z + -3z = 3z
18 + 3z = 51 + 3z + -3z

Combine like terms: 3z + -3z = 0
18 + 3z = 51 + 0
18 + 3z = 51

Add '-18' to each side of the equation.
18 + -18 + 3z = 51 + -18

Combine like terms: 18 + -18 = 0
0 + 3z = 51 + -18
3z = 51 + -18

Combine like terms: 51 + -18 = 33
3z = 33

Divide each side by '3'.
z = 11

Simplifying
z = 11

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