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Math  /  Algebra

QuestionSimplify the expression: Video 6h+4h+6h−4h+3h6 h+4 h+6 h-4 h+3 h □\square Submit

Studdy Solution

STEP 1

1. The expression consists of like terms involving the variable h h .
2. Simplifying the expression involves combining these like terms.

STEP 2

1. Identify and group like terms in the expression.
2. Combine the like terms to simplify the expression.

STEP 3

Identify the like terms in the expression. All terms are multiples of h h :
6h,4h,6h,−4h,3h 6h, 4h, 6h, -4h, 3h

STEP 4

Combine the like terms by adding or subtracting their coefficients:
(6+4+6−4+3)h (6 + 4 + 6 - 4 + 3)h

STEP 5

Calculate the sum of the coefficients:
6+4+6−4+3=15 6 + 4 + 6 - 4 + 3 = 15

STEP 6

Substitute the sum of the coefficients back into the expression:
15h 15h
The simplified expression is:
15h \boxed{15h}

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