Answer:
he simplified expression 1/3(z+4)-62/3(5-z) is equivalent to 21z - 102.
Step-by-step explanation:
To simplify the expression 1/3(z+4)-62/3(5-z), we can follow these steps:
1. Distribute the coefficients to each term within the parentheses:
1/3 * z + 1/3 * 4 - 62/3 * 5 + 62/3 * z
Simplify the expressions within the parentheses:
1/3 * z + 4/3 - 62/3 * 5 + 62/3 * z
2. Combine like terms:
(1/3z + 62/3z) + (4/3 - 310/3)
Simplify:
(63/3z) + (-306/3)
3. Further simplify the expression:
21z - 102
\Therefore, the simplified expression 1/3(z+4)-62/3(5-z) is equivalent to 21z - 102.
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