Expert Answer to "How do you simplify a+2c−5b−c+a−b?"

High School
Algebra
Pre-Algebra
Equations, expressions, and inequalitie

hardcoreangelp50

Answered question

2022-02-03

How do you simplify

a + 2 c - 5 b - c + a - b

Answer & Explanation

ashuhra6e

Beginner2022-02-04Added 15 answers

Step 1
This is addition of algebraic terms.
In Algebra we may only add terms that are like (the same).
There are 6 terms - we can re-arrange them to have the like terms together. The terms are usually arranged in alphabetical order.

a + 2 c - 5 b - c + a - b

= a + a - 5 b - b + 2 c - c

We only add the numerical coefficients (the numbers in front of the terms) and keep the variables the same.

= 2 a - 6 b + c

Remember that if no number is written it means there is 1.

a = 1 a

Jonathan Mckenzie

Beginner2022-02-05Added 14 answers

Step 1

a + 2 c - 5 b - c + a - b

Combine 2c and -c to get c.

a + c - 5 b + a - b

Combine a and a to get 2a.

2 a + c - 5 b - b

Combine -5b and -b to get -6b.

2 a + c - 6 b

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