Simplify the following expression by combining like terms:

Question

`-3\left(10b+10\right)+5\left(b+2\right)-6\left(b-2\right)+10-16b`

Answer 1

First, distribute the negative sign through the expression inside the parentheses:

-3 * 10b + -3 * 10

This simplifies to:

-30b - 30

Next, distribute the positive 5 through the expression inside the parentheses:

5 * b + 5 * 2

This simplifies to:

5b + 10

Next, distribute the negative 6 through the expression inside the parentheses:

-6 * b + -6 * -2

This simplifies to:

-6b + 12

Finally, combine like terms by adding/subtracting the terms with the same variables and their coefficients:

-30b - 30 + 5b + 10 - 6b + 12 + 10 - 16b

Combine the coefficient terms:

-30b + 5b - 6b - 16b - 30 + 10 + 12 + 10

This simplifies to:

-47b - 2