9. a. \( -5-4 t=-17 \quad \) b. \( -\frac{3 e}{5}=14 \quad \) c. \( -\frac{k}{4}-3=6 \quad \) d. \( -\frac{4 f}{7}+1=8 \) WIES 123 For questions 30 to 32 , solve the following equations.
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To solve the given equations: a. For \( -5 - 4t = -17 \): First, add 5 to both sides to isolate the term with \( t \): \[ -4t = -17 + 5 \Rightarrow -4t = -12 \] Now, divide both sides by -4: \[ t = 3 \] b. For \( -\frac{3e}{5} = 14 \): To eliminate the fraction, multiply both sides by -5: \[ 3e = -70 \] Now, divide both sides by 3: \[ e = -\frac{70}{3} \approx -23.33 \] c. For \( -\frac{k}{4} - 3 = 6 \): First, add 3 to both sides: \[ -\frac{k}{4} = 6 + 3 \Rightarrow -\frac{k}{4} = 9 \] Now, multiply both sides by -4: \[ k = -36 \] d. For \( -\frac{4f}{7} + 1 = 8 \): First, subtract 1 from both sides: \[ -\frac{4f}{7} = 8 - 1 \Rightarrow -\frac{4f}{7} = 7 \] Now, multiply both sides by -7: \[ 4f = -49 \] Finally, divide by 4: \[ f = -\frac{49}{4} \approx -12.25 \] These solutions give you: a. \( t = 3 \) b. \( e \approx -23.33 \) c. \( k = -36 \) d. \( f \approx -12.25 \)