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Question
solve for g. 1.5g = 4.2 g =
Step1: Divide both sides by 1.5
To solve for \( g \) in the equation \( 1.5g = 4.2 \), we divide both sides of the equation by 1.5. This is because in an equation of the form \( ax = b \), we can solve for \( x \) by dividing both sides by \( a \), so \( x=\frac{b}{a} \). Here, \( a = 1.5 \) and \( b = 4.2 \), so we have \( g=\frac{4.2}{1.5} \).
Step2: Calculate the division
Now we calculate \( \frac{4.2}{1.5} \). We can multiply both the numerator and the denominator by 10 to eliminate the decimals, getting \( \frac{42}{15} \). Simplifying this fraction, we divide both 42 and 15 by 3, which gives \( \frac{14}{5}=2.8 \).
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\( 2.8 \)