4(3-z)+z=22+2z

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Solution for 4(3-z)+z=22+2z equation:


Simplifying
4(3 + -1z) + z = 22 + 2z
(3 * 4 + -1z * 4) + z = 22 + 2z
(12 + -4z) + z = 22 + 2z

Combine like terms: -4z + z = -3z
12 + -3z = 22 + 2z

Solving
12 + -3z = 22 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
12 + -3z + -2z = 22 + 2z + -2z

Combine like terms: -3z + -2z = -5z
12 + -5z = 22 + 2z + -2z

Combine like terms: 2z + -2z = 0
12 + -5z = 22 + 0
12 + -5z = 22

Add '-12' to each side of the equation.
12 + -12 + -5z = 22 + -12

Combine like terms: 12 + -12 = 0
0 + -5z = 22 + -12
-5z = 22 + -12

Combine like terms: 22 + -12 = 10
-5z = 10

Divide each side by '-5'.
z = -2

Simplifying
z = -2

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