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Explain Bot To simplify the expression 7l-2[3(5l-m)-2(4l+m)], we can follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).
Let's simplify the expression step by step:
1. Start by simplifying the expressions within the innermost parentheses:
3(5l - m) = 15l - 3m
2(4l + m) = 8l + 2m
2. Now, substitute these simplified expressions back into the original expression:
7l - 2[15l - 3m - 8l - 2m]
3. Simplify within the brackets (multiplication before subtraction):
7l - 2[7l - 5m]
4. Distribute the -2 to each term within the brackets:
7l - 2 * 7l + 2 * 5m
5. Simplify the expression within the brackets again:
7l - 14l + 10m
6. Combine like terms:
(7l - 14l) + 10m = -7l + 10m
So, the simplified expression is -7l + 10m.