16=9z-2-9(2z-5)

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Solution for 16=9z-2-9(2z-5) equation:


Simplifying
16 = 9z + -2 + -9(2z + -5)

Reorder the terms:
16 = 9z + -2 + -9(-5 + 2z)
16 = 9z + -2 + (-5 * -9 + 2z * -9)
16 = 9z + -2 + (45 + -18z)

Reorder the terms:
16 = -2 + 45 + 9z + -18z

Combine like terms: -2 + 45 = 43
16 = 43 + 9z + -18z

Combine like terms: 9z + -18z = -9z
16 = 43 + -9z

Solving
16 = 43 + -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.
16 + 9z = 43 + -9z + 9z

Combine like terms: -9z + 9z = 0
16 + 9z = 43 + 0
16 + 9z = 43

Add '-16' to each side of the equation.
16 + -16 + 9z = 43 + -16

Combine like terms: 16 + -16 = 0
0 + 9z = 43 + -16
9z = 43 + -16

Combine like terms: 43 + -16 = 27
9z = 27

Divide each side by '9'.
z = 3

Simplifying
z = 3

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