The simplified expression of the algebraic expression given as (11m + 5) - 7(2m - 1) + 4(3m + 5) is 9m + 32
The algebraic expression is given as:
(11m + 5) - 7(2m - 1) + 4(3m + 5)
Next, we expand the algebraic expressions in the bracket
This is represented as:
11m + 5 - 14m + 7 + 12m + 20
Next, we collect the like terms in the algebraic expressions
This is represented as:
11m - 14m + 12m + 5 + 7 + 20
Next, we evaluate the like terms in the algebraic expressions
This is represented as:
9m + 32
When m = -5, we have:
9m + 32 = 9(-5) + 32
Evaluate
9m + 32 = -13
Hence, the simplified expression of the algebraic expression given as (11m + 5) - 7(2m - 1) + 4(3m + 5) is 9m + 32
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