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45.5=(1/2)(7)(8+b)
We simplify the equation to the form, which is simple to understand
45.5=(1/2)*(7)*(8+b)
Simplifying:
45.5=( + 0.5)*(7)*(8+b)
Reorder the terms in parentheses
multiplication of parentheses
45.5=(+3.5)*(8+b)
Reorder the terms in parentheses
multiplication of parentheses
45.5=(+28+3.5b)
Remove unnecessary parentheses
45.5=+28+3.5b
We move all terms containing b to the left and all other terms to the right.
-3.5b=+28-45.5
We simplify left and right side of the equation.
-3.5b=-17.5
We divide both sides of the equation by -03.5 to get b.
b=5
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