To factor the expression \( 35r + 30s + 45t + 20 \), we first identify the greatest common factor (GCF) of the coefficients: 35, 30, 45, and 20.
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The factors of each coefficient are:
- \( 35 = 5 \times 7 \)
- \( 30 = 5 \times 6 \)
- \( 45 = 5 \times 9 \)
- \( 20 = 5 \times 4 \)
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The GCF of the coefficients is \( 5 \).
Now, we can factor out \( 5 \) from the expression:
\[ 35r + 30s + 45t + 20 = 5(7r + 6s + 9t + 4) \]
Thus, the factorization of the expression is:
\[ \boxed{5(7r + 6s + 9t + 4)} \]