Solve for z. Express your answer as a proper or improper fraction in simplest terms. (2)/(3)=-(5)/(6)+(8)/(9)z Answer: z=

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Solve for  z. Express your answer as a proper or improper fraction in simplest terms.  (2)/(3)=-(5)/(6)+(8)/(9)z Answer:  z=

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Write Equation: First, let's write down the equation we need to solve: (2)/(3) = -(5)/(6) + (8)/(9)zMove Term: To solve for z, we need to isolate z on one side of the equation. Let's start by moving the term -(5)/(6) to the other side by adding (5)/(6) to both sides of the equation: (2)/(3) + (5)/(6) = (8)/(9)zAdd Fractions: Now we need to add the fractions on the left side of the equation. To do this, we need a common denominator. The least common multiple of 3 and 6 is 6, so we will convert (2)/(3) to have a denominator of 6: (2)/(3) * (2)/(2) = (4)/(6) Now we can add the fractions: (4)/(6) + (5)/(6) = (9)/(6)Simplify Fraction: Simplify the fraction on the left side of the equation: (9)/(6) can be simplified to (3)/(2) because 9 and 6 are both divisible by 3: (9)/(6) = (3 * 3)/(3 * 2) = (3)/(2) So now we have: (3)/(2) = (8)/(9)zDivide by Fraction: To solve for z, we need to divide both sides of the equation by (8)/(9). To divide by a fraction, we multiply by its reciprocal. The reciprocal of (8)/(9) is (9)/(8): (3)/(2) * (9)/(8) = zMultiply Fractions: Now we multiply the fractions on the left side of the equation: (3)/(2) * (9)/(8) = (3 * 9)/(2 * 8) = (27)/(16) So, z = (27)/(16)

Solve for $z$ . Express your answer as a proper or improper fraction in simplest terms. $\newline$ $\frac{2}{3}=-\frac{5}{6}+\frac{8}{9} z$ $\newline$ Answer: $z=$

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Solve for $z$ . Express your answer as a proper or improper fraction in simplest terms. $\newline$ $\frac{2}{3}=-\frac{5}{6}+\frac{8}{9} z$ $\newline$ Answer: $z=$