Let's first simplify the expression on both sides of the equation:
16 + 13(b + 5) + 17 = 4b + 5(6 - b) + 1016 + 13b + 65 + 17 = 4b + 30 - 5b + 1013b + 98 = -b + 40
Now, we need to isolate the variable b on one side of the equation by combining like terms:
13b - b = 40 - 9812b = -58
Finally, we can solve for b by dividing both sides by 12:
b = -58/12b = -29/6
Therefore, the solution to the equation is b = -29/6.
Let's first simplify the expression on both sides of the equation:
16 + 13(b + 5) + 17 = 4b + 5(6 - b) + 10
16 + 13b + 65 + 17 = 4b + 30 - 5b + 10
13b + 98 = -b + 40
Now, we need to isolate the variable b on one side of the equation by combining like terms:
13b - b = 40 - 98
12b = -58
Finally, we can solve for b by dividing both sides by 12:
b = -58/12
b = -29/6
Therefore, the solution to the equation is b = -29/6.