simplify 40 – (10 – a) – ( 10-b ) – (10-c_ ) – ( 10-d )
To simplify the given expression: 40 - (10 - a) - (10 - b) - (10 - c) - (10 - d), follow these steps:
Step 1: Simplify the parentheses within the expression.
- Since there is a subtraction operation inside each set of parentheses, you can remove the parentheses by changing the signs of each term inside.
- Rewrite the expression: 40 - 10 + a - 10 + b - 10 + c - 10 + d
Step 2: Combine like terms.
- Combine the constant terms (-10 - 10 - 10 - 10) which equals -40.
- Combine the variable terms (a + b + c + d) together.
- Rewrite the expression: 40 - 40 + a + b + c + d
Step 3: Further simplify.
- Subtract 40 from 40, which equals 0.
- Rewrite the expression: 0 + a + b + c + d
Final Answer: The simplified expression is a + b + c + d.