Add 5a-3b-2c , a-3b+2c+4 , a+3b-4c

Problem

(5*a−3*b−2*c)+(a−3*b+2*c+4)+(a+3*b−4*c)

Solution

1. Group the terms by their variables a b and c and the constant term.

2. Combine the a terms: 5*a+a+a

5*a+a+a=7*a

3. Combine the b terms: −3*b−3*b+3*b

−3*b−3*b+3*b=−3*b

4. Combine the c terms: −2*c+2*c−4*c

−2*c+2*c−4*c=−4*c

5. Identify the remaining constant term.

4

6. Sum all the simplified groups to find the final expression.

7*a−3*b−4*c+4

Final Answer

(5*a−3*b−2*c)+(a−3*b+2*c+4)+(a+3*b−4*c)=7*a−3*b−4*c+4

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