3(3z+1)-8=40

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Solution for 3(3z+1)-8=40 equation: 


Simplifying
3(3z + 1) + -8 = 40

Reorder the terms:
3(1 + 3z) + -8 = 40
(1 * 3 + 3z * 3) + -8 = 40
(3 + 9z) + -8 = 40

Reorder the terms:
3 + -8 + 9z = 40

Combine like terms: 3 + -8 = -5
-5 + 9z = 40

Solving
-5 + 9z = 40

Solving for variable 'z'.

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

Add '5' to each side of the equation.
-5 + 5 + 9z = 40 + 5

Combine like terms: -5 + 5 = 0
0 + 9z = 40 + 5
9z = 40 + 5

Combine like terms: 40 + 5 = 45
9z = 45

Divide each side by '9'.
z = 5

Simplifying
z = 5

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