4z+9-6z=-5z+45

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Solution for 4z+9-6z=-5z+45 equation:


Simplifying
4z + 9 + -6z = -5z + 45

Reorder the terms:
9 + 4z + -6z = -5z + 45

Combine like terms: 4z + -6z = -2z
9 + -2z = -5z + 45

Reorder the terms:
9 + -2z = 45 + -5z

Solving
9 + -2z = 45 + -5z

Solving for variable 'z'.

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

Add '5z' to each side of the equation.
9 + -2z + 5z = 45 + -5z + 5z

Combine like terms: -2z + 5z = 3z
9 + 3z = 45 + -5z + 5z

Combine like terms: -5z + 5z = 0
9 + 3z = 45 + 0
9 + 3z = 45

Add '-9' to each side of the equation.
9 + -9 + 3z = 45 + -9

Combine like terms: 9 + -9 = 0
0 + 3z = 45 + -9
3z = 45 + -9

Combine like terms: 45 + -9 = 36
3z = 36

Divide each side by '3'.
z = 12

Simplifying
z = 12

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