Solve for z. Express your answer as a proper or improper fraction in simplest terms. (1)/(6)=-(1)/(2)z+(1)/(8) Answer: z=

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Solve for  z. Express your answer as a proper or improper fraction in simplest terms.  (1)/(6)=-(1)/(2)z+(1)/(8) Answer:  z=

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Isolate z term: Isolate the term containing z on one side of the equation. We start by adding (1/2)z to both sides of the equation to isolate the z term on one side. (1/6) + (1/2)z = (1/8)Combine constants: Combine the constants on the other side of the equation. We need to find a common denominator to add (1/6) and (1/8). The common denominator is 24. (4/24) + (1/2)z = (3/24)Simplify constant terms: Simplify the constant terms. Now we simplify the left side of the equation by adding the fractions. (4/24) + (3/24) = (1/2)z (7/24) = (1/2)zSolve for z: Solve for z by multiplying both sides by the reciprocal of (1/2). To isolate z, we multiply both sides by 2 (which is the reciprocal of 1/2). 2 * (7/24) = zFind z value: Simplify the expression to find the value of z. Now we multiply 2 by (7/24). z = (14/24)Reduce fraction: Reduce the fraction to its simplest form. We can simplify the fraction (14/24) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. z = (14/24) ÷ (2/2) z = (7/12)

Solve for $z$ . Express your answer as a proper or improper fraction in simplest terms. $\newline$ $\frac{1}{6}=-\frac{1}{2} z+\frac{1}{8}$ $\newline$ Answer: $z=$

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Solve for $z$ . Express your answer as a proper or improper fraction in simplest terms. $\newline$ $\frac{1}{6}=-\frac{1}{2} z+\frac{1}{8}$ $\newline$ Answer: $z=$