5(9-z)+3=22

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Solution for 5(9-z)+3=22 equation:


Simplifying
5(9 + -1z) + 3 = 22
(9 * 5 + -1z * 5) + 3 = 22
(45 + -5z) + 3 = 22

Reorder the terms:
45 + 3 + -5z = 22

Combine like terms: 45 + 3 = 48
48 + -5z = 22

Solving
48 + -5z = 22

Solving for variable 'z'.

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

Add '-48' to each side of the equation.
48 + -48 + -5z = 22 + -48

Combine like terms: 48 + -48 = 0
0 + -5z = 22 + -48
-5z = 22 + -48

Combine like terms: 22 + -48 = -26
-5z = -26

Divide each side by '-5'.
z = 5.2

Simplifying
z = 5.2

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