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20=-16+4/9z pls help

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7 votes

Answer:

z = 1/81

Explanation:

The spacing is quite ambigious but I'll assume you meant: 20 = -16 + 4/9z.

Start by isolating the term that contains z by adding 16 to both sides.

20 + 16 = -16 + 16 + 4/9z.

Simplify that.

36 = 4/9z.

Now, further isolate z as a variable attached to its factor since z is in the denominator, which makes is the divisor, and therefore is not multiplied by 4/9.

36 • 9z = 4.

Continue simplifying.

324z = 4.

Now fully isolate z by dividing by 324 on both sides.

z = 4/324 = 1/81.

User Benoit Guigal
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