4z-2(z+9)=6

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Solution for 4z-2(z+9)=6 equation:


Simplifying
4z + -2(z + 9) = 6

Reorder the terms:
4z + -2(9 + z) = 6
4z + (9 * -2 + z * -2) = 6
4z + (-18 + -2z) = 6

Reorder the terms:
-18 + 4z + -2z = 6

Combine like terms: 4z + -2z = 2z
-18 + 2z = 6

Solving
-18 + 2z = 6

Solving for variable 'z'.

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

Add '18' to each side of the equation.
-18 + 18 + 2z = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 2z = 6 + 18
2z = 6 + 18

Combine like terms: 6 + 18 = 24
2z = 24

Divide each side by '2'.
z = 12

Simplifying
z = 12

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