Answer:
[tex]b=24[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}b-16=-4[/tex]
First, start by adding [tex]16[/tex] to both sides of the equation:
[tex]\frac{1}{2} b=12[/tex]
To make this problem easier, it would be a good idea to identify [tex]0.5[/tex] as the decimal equivalent of the fraction [tex]\frac{1}{2}[/tex]:
[tex]0.5b=12[/tex]
Divide both sides of the equation by the coefficient of [tex]b[/tex], which is [tex]0.5[/tex].
(**Tip: Dividing by a half is the same as multiplying by [tex]2[/tex]):
[tex]b=24[/tex]
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To check our work and solution, substitute the solved value of [tex]b[/tex], ([tex]24[/tex]), into the initial equation:
[tex]\frac{1}{2}b-16=-4[/tex]
[tex]\frac{1}{2}(24)-16=-4[/tex]
[tex]12-16=-4[/tex]
[tex]-4=-4[/tex]
Since both sides of the equation are equal, our solution is correct!
