To simplify the expression \( \frac{7}{9}h + 10 - 49h - 3 \), we will combine like terms.
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First, simplify the constant terms: \[ 10 - 3 = 7 \]
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Next, combine the terms with \( h \): \[ \frac{7}{9}h - 49h \] To combine these, we need a common denominator. We can express \( 49h \) as \( \frac{441}{9}h \) (since \( 49 = \frac{441}{9} \)): \[ \frac{7}{9}h - \frac{441}{9}h = \frac{7 - 441}{9}h = \frac{-434}{9}h \]
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Now, we combine everything: \[ \frac{-434}{9}h + 7 \]
The simplified expression is: \[ \frac{-434}{9}h + 7 \]