Simplify 67c − 59d − 12 c + 13d

Question

.(1 point)
Responses

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

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 \(67c - 59d - 12c + 13d\), let's first combine like terms:

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

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

Putting both results together, we have: \[ 55c - 46d \]

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

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