Answer:
b = 0.25
Step-by-step explanation:
Given:
[tex]\sf 0.42b - 8.3 + 9.14b = -5.91[/tex]
Collect like terms:
[tex]\implies\sf 0.42b+ 9.14b - 8.3 = -5.91[/tex]
Combine like terms:
[tex]\implies \sf 9.56b - 8.3 = -5.91[/tex]
Add 8.3 to both sides:
[tex]\implies \sf 9.56b - 8.3+8.3 = -5.91+8.3[/tex]
[tex]\implies \sf 9.56b=2.39[/tex]
Multiply both sides by 100:
[tex]\implies \sf 9.56b \times 100=2.39 \times 100[/tex]
[tex]\implies \sf 956b=239[/tex]
Divide both sides by 956:
[tex]\implies \sf \dfrac{956b}{956}=\dfrac{239}{956}[/tex]
[tex]\implies \sf b=\dfrac{239}{956}[/tex]
Write 956 as 4 × 239:
[tex]\implies \sf b=\dfrac{1 \times 239}{4 \times 239}[/tex]
Cancel the common factor 239:
[tex]\implies \sf b=\dfrac{1}{4}[/tex]
[tex]\implies \sf b=0.25[/tex]
