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Solve the Proportion for the Variable 44z+3=3z3z2+9\frac { 4 } { 4 z + 3 } = \frac { 3 z } { 3 z ^ { 2 } + 9 }

question 32

Short Answer

Solve the proportion for the variable.
44z+3=3z3z2+9\frac { 4 } { 4 z + 3 } = \frac { 3 z } { 3 z ^ { 2 } + 9 }
z = __________

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Definitions:

Intuition

The ability to understand or know something immediately, based on feelings rather than facts or evidence.

Scientific Investigations

A systematic process of inquiry and experimentation aimed at discovering new knowledge or verifying existing knowledge.

Skepticism

An attitude of doubt or a disposition to disbelief, often requiring strong evidence before accepting any claims.

Careful Logic

A method of reasoning or argumentation that is meticulous and precise, avoiding errors in inference.

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