3(z+6)-(7-4z)=6z

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Solution for 3(z+6)-(7-4z)=6z equation: 


Simplifying
3(z + 6) + -1(7 + -4z) = 6z

Reorder the terms:
3(6 + z) + -1(7 + -4z) = 6z
(6 * 3 + z * 3) + -1(7 + -4z) = 6z
(18 + 3z) + -1(7 + -4z) = 6z
18 + 3z + (7 * -1 + -4z * -1) = 6z
18 + 3z + (-7 + 4z) = 6z

Reorder the terms:
18 + -7 + 3z + 4z = 6z

Combine like terms: 18 + -7 = 11
11 + 3z + 4z = 6z

Combine like terms: 3z + 4z = 7z
11 + 7z = 6z

Solving
11 + 7z = 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
11 + 7z + -6z = 6z + -6z

Combine like terms: 7z + -6z = 1z
11 + 1z = 6z + -6z

Combine like terms: 6z + -6z = 0
11 + 1z = 0

Add '-11' to each side of the equation.
11 + -11 + 1z = 0 + -11

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

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

Divide each side by '1'.
z = -11

Simplifying
z = -11

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