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Remove brackets in the following expression:

[tex]\[10m + 4(5 - 2m)\][/tex]

Sagot :

GinnyAnsweridn
Sure! Let's simplify the given expression step by step:

Given expression: [tex]\( 10m + 4(5 - 2m) \)[/tex]

1. First, we'll distribute the [tex]\(4\)[/tex] across the terms inside the parentheses.

[tex]\[ 4 \times 5 - 4 \times 2m \][/tex]

2. Calculating these products, we get:

[tex]\[ 20 - 8m \][/tex]

3. Now substitute back into the expression:

[tex]\[ 10m + 20 - 8m \][/tex]

4. Next, we combine like terms. The like terms here are [tex]\(10m\)[/tex] and [tex]\(-8m\)[/tex]:

[tex]\[ 10m - 8m \][/tex]

5. Combine these like terms:

[tex]\[ (10 - 8)m \][/tex]

6. This simplifies to:

[tex]\[ 2m \][/tex]

7. Our expression is now:

[tex]\[ 2m + 20 \][/tex]

So, the simplified form of the expression [tex]\( 10m + 4(5 - 2m) \)[/tex] is [tex]\( 2m + 20 \)[/tex].

Thus, the intermediate result during the simplification was:
[tex]\[ 10m + 20 - 8m \][/tex]

And the final simplified result is:
[tex]\[ 2m + 20 \][/tex]
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