Simplify Algebraic Expressions Quick Check

Question

5 of 55 of 5 Items
Question
Simplify 67c − 59d − 12 c + 13d
.(1 point)
Responses

59c + 412d = 59c +13d
Start Fraction 5 over 9 End Fraction c plus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c plus Start Fraction 1 over 3 End Fraction d

59c − 412d = 59c −13d
Start Fraction 5 over 9 End Fraction c minus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c minus Start Fraction 1 over 3 End Fraction d

514c − 29d
Start Fraction 5 over 14 End Fraction c minus Start Fraction 2 over 9 End Fraction d

514c + 29d
Start Fraction 5 over 14 End Fraction c plus Start Fraction 2 over 9 End Fraction d
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Answer 1

To simplify the expression \( 67c - 59d - 12c + 13d \), we can combine like terms.

1. Combine the \( c \) terms: \[ 67c - 12c = 55c \]

2. Combine the \( d \) terms: \[ -59d + 13d = -46d \]

Putting it all together, we get: \[ 55c - 46d \]

So the simplified expression is: \[ 55c - 46d \]

None of the answer choices you provided exactly match this outcome, but check if "59c - 412d" was supposed to have a typo or misinterpretation since it could be interpreted as \(55c - 46d\) after simplifying. Please review the options again or provide the correct ones if there was an error in transmission!