4z+3z+3=-22+12z-20

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Solution for 4z+3z+3=-22+12z-20 equation:


Simplifying
4z + 3z + 3 = -22 + 12z + -20

Reorder the terms:
3 + 4z + 3z = -22 + 12z + -20

Combine like terms: 4z + 3z = 7z
3 + 7z = -22 + 12z + -20

Reorder the terms:
3 + 7z = -22 + -20 + 12z

Combine like terms: -22 + -20 = -42
3 + 7z = -42 + 12z

Solving
3 + 7z = -42 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
3 + 7z + -12z = -42 + 12z + -12z

Combine like terms: 7z + -12z = -5z
3 + -5z = -42 + 12z + -12z

Combine like terms: 12z + -12z = 0
3 + -5z = -42 + 0
3 + -5z = -42

Add '-3' to each side of the equation.
3 + -3 + -5z = -42 + -3

Combine like terms: 3 + -3 = 0
0 + -5z = -42 + -3
-5z = -42 + -3

Combine like terms: -42 + -3 = -45
-5z = -45

Divide each side by '-5'.
z = 9

Simplifying
z = 9

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