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Answer: = − 3 /2

Precalculus, Matrix

Rearrange terms, Combine multiplied terms into a single fraction, distribute, Multiply all terms by the same value to eliminate fraction denominators, Multiply all terms by the same value to eliminate fraction denominators . Cancel multiplied terms that are in the denominator . Multiply the numbers . Add 4 to both sides of the equation . Simplify.

Divide both sides of the equation by the same term  . Simplify

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Answer:

z = -3/2

Step-by-step explanation:

Our goal here is to solve -1/3 (4+z)=-5/6 for z.

Begin by multiplying both sides by 6, to eliminate the fractions:

-2(4 + z) = -5

Isolate (4 + z) by dividing both sides by -2:  4 + z = 5/2

Finally, determine z by subtracting 4 from both sides:  z = 5/2 - 8/2 = -3/2

z = -3/2

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