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Step1: Apply distributive property
$\frac{3}{5}(a) + \frac{3}{5}(5.25) = 7.35$
Step2: Calculate the constant term
$\frac{3}{5} \times 5.25 = 3.15$, so $\frac{3}{5}a + 3.15 = 7.35$
Step3: Isolate the variable term
$\frac{3}{5}a = 7.35 - 3.15$
$\frac{3}{5}a = 4.2$
Step4: Solve for $a$
$a = 4.2 \div \frac{3}{5} = 4.2 \times \frac{5}{3}$
$a = 7$
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First blank: $\frac{3}{5}$, Second blank: $\frac{3}{5}$, $a = 7$