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Math  /  Algebra

Question[文], Simplify the expression: d−9d+−2d+−2dd-9 d+-2 d+-2 d □\square Submit

Studdy Solution

STEP 1

1. We need to simplify the expression by combining like terms.
2. The expression consists of terms that involve the variable dd.

STEP 2

1. Identify and combine like terms in the expression.
2. Simplify the combined expression.

STEP 3

Identify the like terms in the expression d−9d+(−2d)+(−2d)d - 9d + (-2d) + (-2d). All terms involve the variable dd.
d−9d−2d−2d d - 9d - 2d - 2d

STEP 4

Combine the like terms by adding their coefficients:
1d−9d−2d−2d=(1−9−2−2)d 1d - 9d - 2d - 2d = (1 - 9 - 2 - 2)d
Calculate the sum of the coefficients:
1−9−2−2=−12 1 - 9 - 2 - 2 = -12
So, the expression simplifies to:
−12d -12d
The simplified expression is:
−12d \boxed{-12d}

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