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Question

Add the following algebraic expression:
a+2b-c+d,2-d+3c+a,5b-2c+3-d

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Solution

When we want to add multiple variables, we add the coefficient of the corresponding variable as shown below:
(a+2b-c+d) + (2-d+3c+a) + (5b-2c+3-d)
= (a + a) + (2b + 5b) + (-c - 2c) + (d - d) + (2 + 3) [ addition and subtraction only perform on the like terms]
= 2a + 7b - 3c + 0d + 5
Hence, (a+2b-c+d) + (2-d+3c+a) + (5b-2c+3-d) = 2a + 7b - 3c + 5

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