Question

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Explanation:

Part d: Simplify or Solve? (Assuming Solve for \( b \) if it's an equation, but the expression is \( \frac{4}{3} - \frac{8}{3}b \), maybe factor? Let's assume factor)

Step1: Factor out \( \frac{4}{3} \) or \( \frac{1}{3} \)

Notice both terms have a common factor of \( \frac{4}{3} \)? Wait, \( \frac{4}{3} = \frac{4}{3} \times 1 \), \( \frac{8}{3}b = \frac{4}{3} \times 2b \). So factor out \( \frac{4}{3} \)? Wait, \( \frac{4}{3} - \frac{8}{3}b = \frac{4}{3}(1 - 2b) \) or factor out \( \frac{1}{3} \): \( \frac{1}{3}(4 - 8b) = \frac{4}{3}(1 - 2b) \). Alternatively, if it's an equation (maybe typo, missing equality), but as an expression, factoring is possible.

Part f: Solve \( -3.8x = -15.2 \)

Step1: Divide both sides by \( -3.8 \)

To solve for \( x \), we divide both sides of the equation by the coefficient of \( x \), which is \( -3.8 \). So \( x = \frac{-15.2}{-3.8} \)

Step2: Calculate the division

\( \frac{-15.2}{-3.8} = \frac{15.2}{3.8} \). Since \( 3.8 \times 4 = 15.2 \), so \( x = 4 \)

Answer:

(for part f):
\( x = 4 \)

(For part d, if it's an expression to factor, the factored form is \( \frac{4}{3}(1 - 2b) \) or \( \frac{1}{3}(4 - 8b) \); if it's an equation (missing equality, e.g., \( \frac{4}{3} - \frac{8}{3}b = 0 \)), then solving:

Step1: Set equal to 0 (assuming)

\( \frac{4}{3} - \frac{8}{3}b = 0 \)

Step2: Add \( \frac{8}{3}b \) to both sides

\( \frac{4}{3} = \frac{8}{3}b \)

Step3: Multiply both sides by \( \frac{3}{8} \)

\( b = \frac{4}{3} \times \frac{3}{8} = \frac{4}{8} = \frac{1}{2} \)

But since the original problem for d is just an expression, maybe the user intended part f to be solved, so focusing on part f as it's a clear equation.)