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

Question

Responses

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

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 ...........

Answer 1

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

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

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

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

So the simplified expression is \(55c - 46d\).

None of the provided responses match this result, so it appears that there may be a mistake in the options listed. Would you like to proceed with a different question or clarify further?