Simplify 67c − 59d − 12 c + 13d .(1 point)

Question

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

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

Answer 1

To simplify \( 67c - 59d - 12c + 13d \), 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 responses provided directly match this result. The closest response seems to be a confusion with the coefficients, as there is no \( 59c \) or \( 412d \) among the terms. Please verify the options or clarify further.