QuestionSimplify: $29u + 4d - 13u + 2u + 7d$ and find the result among $18u + 11d$ , $44u + 11d$ , $18u - 3d$ , $31u + 28d$ .

Studdy Solution

STEP 1

Assumptions1. The problem is asking us to simplify the expression $29 u+4 d-13 u+ u+7 d$ . . The variables $u$ and $d$ are independent of each other.
3. The operation of addition and subtraction is commutative, meaning we can rearrange the terms without changing the result.

STEP 2

First, we will group all the $u$ terms together and all the $d$ terms together. $29 u -13 u +2 u +4 d +7 d$

STEP 3

Now, we will simplify the $u$ terms by adding and subtracting them.
$29 u -13 u +2 u =18 u$

STEP 4

Next, we will simplify the $d$ terms by adding them.
$4 d +7 d =11 d$

STEP 5

Finally, we will combine the simplified $u$ and $d$ terms to get the final simplified expression.
$18 u +11 d$ So, the simplified form of the expression $29 u+4 d-13 u+2 u+7 d$ is $18 u +11 d$ .

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