To solve this equation, we can distribute the numbers outside the parentheses to the expressions inside the parentheses.
For the first set of parentheses, we have 5(8−6b). Distributing 5, we get:
5 * 8 - 5 * 6b
= 40 - 30b
For the second set of parentheses, we have 5(2−3b). Distributing 5, we get:
5 * 2 - 5 * 3b
= 10 - 15b
Now our equation looks like:
(40 - 30b) - (10 - 15b) = -60
Next, we can remove the parentheses:
40 - 30b - 10 + 15b = -60
Combining like terms:
(40 - 10) + (-30b + 15b) = -60
30 + (-15b) = -60
Now we can combine the positive and negative 15b terms:
30 - 15b = -60
To solve for b, we can isolate the variable by moving the constant to the other side of the equation.
Subtracting 30 from both sides:
30 - 30 - 15b = -60 - 30
-15b = -90
Finally, we can solve for b by dividing both sides by -15:
-15b / -15 = -90 / -15
b = 6
5(8−6b)−5(2−3b)=−60
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