Question

Show me the steps to solve for (b)-6+5(-1-b)=19

Answer 1

To solve (b)-6+5(-1-b)=19, distribute the 5, combine like terms, then isolate and solve for b to get the final answer b = -7.5.

Step-by-step explanation:

To solve the equation (b)-6+5(-1-b)=19, follow these steps:

1. Distribute the 5 across the terms inside the parentheses: 5 * (-1) + 5 * (-b) = -5 - 5b.
2. Combine like terms: (b) - 6 - 5 - 5b = (b) - 5b - 11.
3. Simplify the equation by combining the b terms: (b) - 5b becomes -4b.
4. Our equation now looks like: -4b - 11 = 19.
5. Add 11 to both sides to isolate the term with the variable: -4b = 19 + 11.
6. Combine the constant terms on the right side: -4b = 30.
7. Divide both sides by -4 to solve for b: b = 30 / (-4).
8. Simplify to get the final answer: b = -7.5.