4z+12=9z-49

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Solution for 4z+12=9z-49 equation:


Simplifying
4z + 12 = 9z + -49

Reorder the terms:
12 + 4z = 9z + -49

Reorder the terms:
12 + 4z = -49 + 9z

Solving
12 + 4z = -49 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
12 + 4z + -9z = -49 + 9z + -9z

Combine like terms: 4z + -9z = -5z
12 + -5z = -49 + 9z + -9z

Combine like terms: 9z + -9z = 0
12 + -5z = -49 + 0
12 + -5z = -49

Add '-12' to each side of the equation.
12 + -12 + -5z = -49 + -12

Combine like terms: 12 + -12 = 0
0 + -5z = -49 + -12
-5z = -49 + -12

Combine like terms: -49 + -12 = -61
-5z = -61

Divide each side by '-5'.
z = 12.2

Simplifying
z = 12.2

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