To solve the equation 8 – (3 + b) = b – 9, we can simplify both sides of the equation by removing the parentheses and combining like terms:
8 - 3 - b = b - 9
5 - b = b - 9
Now, let's isolate the variable b on one side of the equation by adding b to both sides:
5 - b + b = b - 9 + b
5 = 2b - 9
Next, let's add 9 to both sides:
5 + 9 = 2b - 9 + 9
14 = 2b
Finally, divide both sides of the equation by 2 to solve for b:
14/2 = 2b/2
7 = b
So, the value of b that satisfies the equation is b = 7.
8 – (3 + b) = b – 9
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