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4) $9.2r + 5.514 = 158.234$

Question

  1. $9.2r + 5.514 = 158.234$

Explanation:

Step1: Subtract 5.514 from both sides

To isolate the term with \( r \), we subtract 5.514 from both sides of the equation \( 9.2r + 5.514 = 158.234 \).

$$ 9.2r + 5.514 - 5.514 = 158.234 - 5.514 $$

Simplifying both sides, we get:

$$ 9.2r = 152.72 $$

Step2: Divide both sides by 9.2

To solve for \( r \), we divide both sides of the equation \( 9.2r = 152.72 \) by 9.2.

$$ r = \frac{152.72}{9.2} $$

Calculating the right - hand side, we find that \( r = 16.6 \).

Answer:

\( r = 16.6 \)