The equation first, third, fifth and seventh are equivalent to the fifth, second, fourth and eighth equation.
How to find the equivalent expression?
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
Equivalent expression can be found out by simplifying the given equation.
First equation given as,
[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)[/tex]
Simplify it further,
[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)\\-14+\dfrac{3}{2}b-(1+4b)\\-14+\dfrac{3}{2}b-1-4b\\-15-\dfrac{5}{2}b[/tex]
Third equation in the problem given as,
[tex]\left(5+2b\right)+\left(2b+\dfrac{3}{2}\right)\\5+2b+2b+\dfrac{3}{2}\\4b+\dfrac{13}{2}[/tex]
Simplify it further,
[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)\\-14+\dfrac{3}{2}b-(1+4b)\\-14+\dfrac{3}{2}b-1-4b\\-15-\dfrac{5}{2}b[/tex]
Similarly, the fifth and seventh equation are simplified and equivalent to the fourth and eight respectively.
Thus, the equation first, third, fifth and seventh are equivalent to the fifth, second, fourth and eighth equation.
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
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