7z-144=6(5-3z)-4z

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Solution for 7z-144=6(5-3z)-4z equation:


Simplifying
7z + -144 = 6(5 + -3z) + -4z

Reorder the terms:
-144 + 7z = 6(5 + -3z) + -4z
-144 + 7z = (5 * 6 + -3z * 6) + -4z
-144 + 7z = (30 + -18z) + -4z

Combine like terms: -18z + -4z = -22z
-144 + 7z = 30 + -22z

Solving
-144 + 7z = 30 + -22z

Solving for variable 'z'.

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

Add '22z' to each side of the equation.
-144 + 7z + 22z = 30 + -22z + 22z

Combine like terms: 7z + 22z = 29z
-144 + 29z = 30 + -22z + 22z

Combine like terms: -22z + 22z = 0
-144 + 29z = 30 + 0
-144 + 29z = 30

Add '144' to each side of the equation.
-144 + 144 + 29z = 30 + 144

Combine like terms: -144 + 144 = 0
0 + 29z = 30 + 144
29z = 30 + 144

Combine like terms: 30 + 144 = 174
29z = 174

Divide each side by '29'.
z = 6

Simplifying
z = 6

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